Dividing by a 2-digit number

Long division takes center stage in this 6th grade dividing by 2-digit numbers worksheet. A solved model, 8,705 ÷ 32 = 272 remainder 1, opens the page; students then divide 1,504 by 12, 9,754 by 21 and 3,537 by 14, writing the answer and the remainder in separate boxes. Three multiple-choice questions ask for the remainder of a six- or seven-digit number divided by 16, 13 or 19.

What your child will practice

The sheet drills the standard long division algorithm with a two-digit divisor.

  • Divide, multiply, subtract, bring down: 87 ÷ 32 gives 2, and 87 − 64 = 23
  • Record a quotient digit for every digit brought down
  • Keep the remainder smaller than the divisor: 9,754 ÷ 21 = 464 R 10
  • Find a remainder alone for large dividends such as 3,592,108 ÷ 16

Dividing four-digit dividends by two-digit divisors is 5.NBT.B.6; fluent use of the standard algorithm is 6.NS.B.2.

How to use this worksheet

Print page one. Before starting, walk through the solved division a so your child sees where each red digit goes.

  • Use the grid squares to keep the columns lined up.
  • Copy the quotient into the red Answer box and what is left into the blue Remainder box.
  • For questions e to g, work on scrap paper, then tick one box.

Check with multiplication: 125 × 12 + 4 = 1,504. Page two shows each division step by step.

Common mistakes & next steps
  • Skipping a zero in the quotient when a brought-down number is smaller than the divisor.
  • A remainder that is too big: 19 cannot be the remainder when dividing by 19, so that choice can be ruled out at once.
  • Subtracting from the wrong column when the digits drift out of line.

If the remainder questions feel long, have your child estimate the quotient first. Then move on to three-digit divisors.

About this 6th Grade division worksheet

Worksheet page 1: four long divisions by 32, 12, 21 and 14 with answer and remainder boxes, the first solved, then three remainder questionsSolution page with the long divisions worked in green, the answers 272, 125, 464 and 252 with their remainders, and the ticks 12, 5 and 16

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