Multi-digit division worksheet

Grade 6 math, Common Core 6.NS.B.2. 10 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

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Multi-digit division

Grade 6 math, Common Core 6.NS.B.2

Divide. Use the standard algorithm.

1.
12,408 cookies are shared equally into trays of 47. How many trays are there?
2.
4,928 ÷ 44
3.
15,523 ÷ 43
4.
13,571 books are shared equally into shelves of 41. How many shelves are there?
5.
14,965 ÷ 41
6.
11,745 ÷ 45
7.
7,392 ÷ 48
8.
7,650 ÷ 34
9.
2,592 ÷ 32
10.
14,555 ÷ 41

Answer key: Multi-digit division

Grade 6 math. Each answer has a few worked steps, to help check the method as well as the answer.

1. 264 trays
12,408 ÷ 47 = 264Check: 264 × 47 = 12,408
2. 112
Check: 112 × 44 = 4,928
3. 361
Check: 361 × 43 = 15,523
4. 331 shelves
13,571 ÷ 41 = 331Check: 331 × 41 = 13,571
5. 365
Check: 365 × 41 = 14,965
6. 261
Check: 261 × 45 = 11,745
7. 154
Check: 154 × 48 = 7,392
8. 225
Check: 225 × 34 = 7,650
9. 81
Check: 81 × 32 = 2,592
10. 355
Check: 355 × 41 = 14,555

The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.

About multi-digit division

Long division breaks a big division into small steps: divide, multiply, subtract, then bring down the next digit, and repeat. Estimating first helps you check: 4,368 ÷ 12 is a bit more than 4,000 ÷ 12, which is about 330.

Worked example 1

12,469 cookies are shared equally into trays of 37. How many trays are there?

Step 1.12,469 ÷ 37 = 337
Step 2.Check: 337 × 37 = 12,469

Answer: 337 trays

Worked example 2

4,301 ÷ 23

Step 1.Check: 187 × 23 = 4,301

Answer: 187

Worked example 3

12,775 ÷ 35

Step 1.Check: 365 × 35 = 12,775

Answer: 365

Watch out for

Line up the digits carefully, one column per digit.
If a step gives you 0, write the 0 in the answer so the place values stay right.
Check by multiplying: the answer times the divisor should equal the number you started with.

Practice multi-digit division online

On StudyWiz, your kid can practice multi-digit division with 5-question quizzes that are checked as they go, with an explanation for every answer. When a homework problem is the trouble, Wiz gives a hint for each step instead of the answer.

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