Divide 4-Digit by 1-Digit

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Answer Key & Explanations

Divide 4-Digit by 1-Digit · Grade 4 · Worksheet 1

1. 2,856 ÷ 4 = ? Answer: 714 Solution: Set up the division. We are dividing 2,856 by 4. Divide the thousands place.
   Full step-by-step solution

   Let's solve 2,856 ÷ 4 step by step using long division. Step 1: Set up the division. We are dividing 2,856 by 4. Step 2: Divide the thousands place. 4 goes into 2 how many times? 2 is less than 4, so we take the first two digits: 28. 4 goes into 28 exactly 7 times (because 4 × 7 = 28). Write 7 above the 8 (in the hundreds place of the quotient). Step 3: Multiply and subtract. 7 × 4 = 28. 28 − 28 = 0. Bring down the next digit, which is 5. Step 4: Divide the tens place. Now we have 5. 4 goes into 5 one time (4 × 1 = 4). Write 1 above the 5 (in the tens place of the quotient). Step 5: Multiply and subtract. 1 × 4 = 4. 5 − 4 = 1. Bring down the next digit, which is 6. Step 6: Divide the ones place. Now we have 16. 4 goes into 16 exactly 4 times (4 × 4 = 16). Write 4 above the 6 (in the ones place of the quotient). Step 7: Multiply and subtract. 4 × 4 = 16. 16 − 16 = 0. No remainder. So the quotient is 714. Final check: 714 × 4 = 2,856, which matches the original number. Answer: 714

2. A community garden is planting flowers in their new flower beds. They have 1,728 flower bulbs that need to be divided equally among 12 rectangular flower beds. How many bulbs should be planted in each flower bed? Answer: 144 Solution: Identify the total number of flower bulbs: 1,728 Identify the number of flower beds: 12 Divide the total bulbs by the number of beds: 1,728 ÷ 12 Calculate the division: 12 × 144 = 1,728 Therefore, 1,728 ÷ 12 = 144 The answer is 144 bulbs per flower bed.
   Full step-by-step solution

   Step 1: Identify the total number of flower bulbs: 1,728 Step 2: Identify the number of flower beds: 12 Step 3: Divide the total bulbs by the number of beds: 1,728 ÷ 12 Step 4: Calculate the division: 12 × 144 = 1,728 Step 5: Therefore, 1,728 ÷ 12 = 144 The answer is 144 bulbs per flower bed.

3. The school library is organizing books for a book fair. They have 1,248 books to arrange equally on 8 tables. How many books should be placed on each table? Answer: 156 Solution: We are told there are 1,248 books in total and they must be divided equally among 8 tables. To find how many books go on each table, we need to divide the total number of books by the number of tables.
   Full step-by-step solution

   We are told there are 1,248 books in total and they must be divided equally among 8 tables. To find how many books go on each table, we need to divide the total number of books by the number of tables. Step 1: Write the division problem. Total books = 1,248 Number of tables = 8 So we calculate: 1,248 ÷ 8 Step 2: Break down the division step by step. First, check how many times 8 goes into the thousands part of 1,248. 1,248 = 1 thousand + 2 hundreds + 4 tens + 8 ones. Start with the thousands place: 8 does not go into 1 (thousand) without exceeding it, so we consider the first two digits: 12 (hundreds). Step 3: Divide 12 (hundreds) by 8. 8 × 1 = 8, subtract from 12: 12 - 8 = 4. So, 1 hundred goes in the quotient (meaning 100 books per table so far), and we have 4 hundreds left. Step 4: Bring down the next digit (4 from the tens place) to make 44 (tens). Divide 44 by 8: 8 × 5 = 40, subtract: 44 - 40 = 4. So, 5 tens go in the quotient (meaning 50 more books per table), and we have 4 tens left. Step 5: Bring down the last digit (8 from the ones place) to make 48 (ones). Divide 48 by 8: 8 × 6 = 48, subtract: 48 - 48 = 0. So, 6 ones go in the quotient (meaning 6 more books per table), and remainder is 0. Step 6: Combine the quotient parts: 100 (from step 3) + 50 (from step 4) + 6 (from step 5) = 156. So, each table gets 156 books. Final check: 156 × 8 = 1,248, which matches the total number of books. ANSWER: 156

4. Mere is organizing 4730 photographs into an album. Each page can hold 10 photographs. If Mere fills every page completely, how many pages will be filled? Answer: 473 Solution: Divide the total number of photographs (4730) by the number that fit on one page (10). 4730 ÷ 10 = 473. Mere will fill 473 pages completely.
   Full step-by-step solution

   Step 1: Divide the total number of photographs (4730) by the number that fit on one page (10). Step 2: 4730 ÷ 10 = 473. Mere will fill 473 pages completely.

5. 1,764 ÷ 12 = ? Answer: 147 Solution: Set up the division: 1764 ÷ 12 12 goes into 17 one time (12 × 1 = 12) Subtract: 17 - 12 = 5 Bring down the 6: 56 12 goes into 56 four times (12 × 4 = 48) Subtract: 56 - 48 = 8 Bring down the 4: 84 12 goes into 84 seven times (12 × 7 = 84) Subtract: 84 - 84 = 0 The quotient is 147 Therefore,…
   Full step-by-step solution

   Step 1: Set up the division: 1764 ÷ 12 Step 2: 12 goes into 17 one time (12 × 1 = 12) Step 3: Subtract: 17 - 12 = 5 Step 4: Bring down the 6: 56 Step 5: 12 goes into 56 four times (12 × 4 = 48) Step 6: Subtract: 56 - 48 = 8 Step 7: Bring down the 4: 84 Step 8: 12 goes into 84 seven times (12 × 7 = 84) Step 9: Subtract: 84 - 84 = 0 Step 10: The quotient is 147 Therefore, 1,764 ÷ 12 = 147

6. Jordan is organizing 8802 photographs into an album. Each page can hold 18 photographs. If Jordan fills every page completely, how many pages will be filled? Answer: 489 Solution: Divide the total number of photographs (8802) by the number that fit on one page (18). 8802 ÷ 18 = 489. Jordan will fill 489 pages completely.
   Full step-by-step solution

   Step 1: Divide the total number of photographs (8802) by the number that fit on one page (18). Step 2: 8802 ÷ 18 = 489. Jordan will fill 489 pages completely.

7. A rectangular garden is divided into square plots arranged in 6 rows and 8 columns. Each square plot measures 5 feet on each side. If you look at the garden from above, what is the total area of the garden in square feet? Answer: 1200 Solution: Find the total number of square plots in the garden. There are 6 rows and 8 columns, so the total number of plots is 6 × 8 = 48 plots. Find the area of one square plot.
   Full step-by-step solution

   Step 1: Find the total number of square plots in the garden. There are 6 rows and 8 columns, so the total number of plots is 6 × 8 = 48 plots. Step 2: Find the area of one square plot. Each plot is a square with sides of 5 feet, so the area of one plot is 5 × 5 = 25 square feet. Step 3: Find the total area of the garden. Multiply the number of plots by the area of one plot: 48 × 25. Step 4: Calculate 48 × 25. First, 48 × 20 = 960. Then, 48 × 5 = 240. Finally, 960 + 240 = 1200. The total area of the garden is 1200 square feet.

8. The school library is organizing books for a reading fair. They have 1,248 books that need to be divided equally among 8 classrooms. How many books will each classroom receive? Answer: 156 Solution: We need to divide 1,248 books equally among 8 classrooms. This means we perform the division: 1,248 ÷ 8. Set up the division.
   Full step-by-step solution

   We need to divide 1,248 books equally among 8 classrooms. This means we perform the division: 1,248 ÷ 8. Step 1: Set up the division. We can use long division. Step 2: Look at the first digit: 1. Since 1 is less than 8, we cannot divide 1 by 8. So we take the first two digits: 12. Step 3: Divide 12 by 8. 8 × 1 = 8, which is less than 12. 8 × 2 = 16, which is too big. So we use 1. Write 1 above the 2 (in the hundreds place of the quotient). Step 4: Multiply 1 × 8 = 8, subtract from 12: 12 − 8 = 4. Step 5: Bring down the next digit, which is 4. Now we have 44. Step 6: Divide 44 by 8. 8 × 5 = 40, which is less than 44. 8 × 6 = 48, which is too big. So we use 5. Write 5 above the 4 (in the tens place of the quotient). Step 7: Multiply 5 × 8 = 40, subtract from 44: 44 − 40 = 4. Step 8: Bring down the last digit, which is 8. Now we have 48. Step 9: Divide 48 by 8. 8 × 6 = 48 exactly. So we use 6. Write 6 above the 8 (in the ones place of the quotient). Step 10: Multiply 6 × 8 = 48, subtract: 48 − 48 = 0. No remainder. So the quotient is 156. Final check: 156 × 8 = 1,248, which matches the total number of books. ANSWER: Each classroom receives 156 books.

9. A community garden is planting flowers in their new flower beds. They have 1,728 flower seedlings that need to be divided equally among 12 different flower beds. How many seedlings should be planted in each flower bed? Answer: 144 Solution: Identify the total number of seedlings: 1,728 Identify the number of flower beds: 12 Divide the total seedlings by the number of flower beds: 1,728 ÷ 12 Calculate the division: 12 × 144 = 1,728 Therefore, 1,728 ÷ 12 = 144 The answer is 144.
   Full step-by-step solution

   Step 1: Identify the total number of seedlings: 1,728 Step 2: Identify the number of flower beds: 12 Step 3: Divide the total seedlings by the number of flower beds: 1,728 ÷ 12 Step 4: Calculate the division: 12 × 144 = 1,728 Step 5: Therefore, 1,728 ÷ 12 = 144 The answer is 144.