Multi-Digit Division (Grade 6)

Examples, solutions, videos, and lessons to help Grade 6 students learn to fluently divide multi-digit numbers using the standard algorithm.

Common Core: 6.NS.2

Suggested Learning Targets

• I can divide multi-digit numbers.
• I can tell if my quotient is reasonable.
  
• I can divide multi-digit numbers using the standard algorithm with speed and accuracy, without any math tools (i.e., calculator, multiplication chart).
  

Component Skills from Previous Grades

5.NBT.6 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

The following diagram gives some examples of long division. Scroll down the page for more examples and explanations on how to divide multi-digit numbers.

 

Long Division with 2-Digit Divisors
Example:
528 ÷ 2
528 ÷ 8
528 ÷ 24
528 ÷ 88
817,152 ÷ 38

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6NS2 Dividing Multi-digit Numbers with Standard Algorithm - Part 1
Example:
7452 ÷ 54
8525 ÷ 20

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6NS2 Dividing Multi-digit Numbers with Standard Algorithm part 2
Repeating Decimals in the quotient.
Example:
6432 ÷ 396

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Why the Standard Algorithm for Long Division Works?

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Dividing by a two digit number
Example:
7182 ÷ 42

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2 × 3 Division: Learn how to solve 2 digit by 3 digit long division problems
Example:
528 divide by 43
228 divide by 43

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Divide Multi Digit Numbers
Steps

1. Divide
   
2. Multiply
   
3. Subtract
   
4. Bring Down
   
5. Repeat

Examples:

1. 192 ÷ 8
   
2. 278 ÷ 18
   
3. 5,272 ÷ 64
   
4. An elephant will eat about 6,820 pounds of vegetation in a 31-day month. What is the average amount an elephant will eat every day?
   

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