Divide whole numbers by a 3-digit number

Three-digit divisors such as 570, 642 and 616 make this 6th grade dividing by 3-digit numbers worksheet a real step up. It opens with two long divisions set in the grid, continues with three remainder questions to tick, and ends with 64,259 ÷ 642, 567,419 ÷ 616 and 21,954 ÷ 320, each with an answer box and a remainder box. Page two shows the quotients and remainders.

What your child will practice

This page asks for fluent long division when the divisor has three digits.

  • Estimate each quotient digit: 1,769 ÷ 570 is about 3, because 3 × 570 = 1,710
  • Multiply, subtract and bring down until no digits remain
  • Spot an answer of 100 with a remainder: 64,259 ÷ 642 = 100 R 59
  • Choose the remainder of 3,016 ÷ 107 from five options

Dividing multi-digit numbers with the standard algorithm is 6.NS.B.2, the last whole-number division standard before decimals.

How to use this worksheet

Print page one and give your child scrap paper: the last three divisions have answer boxes but no working space.

  • Round the divisor to estimate each digit: 616 is close to 600.
  • Write the quotient in the red box and the remainder in the blue box.
  • Check every result by multiplying back and adding the remainder: 68 × 320 + 194 = 21,954.

The second page lists every quotient and remainder.

Common mistakes & next steps
  • Forgetting zeros in the quotient: 64,259 ÷ 642 is 100, not 1 or 10.
  • Stopping too early: a remainder of 598 when dividing by 570 means another 1 fits.
  • Mixing up the answer and remainder boxes.

Note: on page one, item b has no dividend and its box shows "3,537 ÷ 14" from another sheet; the key solves 1,075 ÷ 215 = 5. Give your child 1,075 ÷ 215. Items a and b also print the quotient digits, and the headings say "estimated" and "tick" where exact answers are written.

About this 6th Grade division worksheet

Worksheet page 1: two long divisions by 570 and 215, three remainder questions with five choices each, and three divisions with answer and remainder boxesSolution page with 17,698 ÷ 570 = 31 R 28 and 1,075 ÷ 215 = 5 worked out, ticks on 20, 26 and 5, and the answers 100 R 59, 921 R 83, 68 R 194

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