Divide 3-Digit Numbers By 1-Digit Numbers

Long Division

Long division is a standard algorithm (a step-by-step procedure) used to divide large numbers, breaking down a complex division problem into a series of simpler calculations. It’s especially useful when you can’t easily do the division mentally or use short division.

The Long Division Process (D-M-S-B):
The core of long division involves repeating a cycle of four main steps:

1. Divide
   Divide left to right, one digit at a time.
2. Multiply
3. Subtract
4. Bring Down
   If a digit is smaller than the divisor, bring down the next digit to continue.

The following diagrams show the steps for long division: Divide, Multiply, Subtract, Bring Down. Scroll down the page for more examples and solutions.

 

Division Worksheets
Practice your skills with the following Division Worksheets:
Printable & Online Division Worksheets

Check the division using multiplication: (Divisor × Quotient) + Remainder = Dividend.

Long Division: 3-digit divide by 1-digit
This video shows you how to do long division, using simple short steps.
Step 1: Divide
Step 2: Multiply
Step 3: Subtract
Step 4: Bring Down

Example:
537 ÷ 3

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Long Division: triple-digit divided by single digit
This is a typical long division problem for grade 4.
The problem is 747 divided by 4.
This video shows a solution using the standard long division algorithm. Always remember to “divide,” “multiply,” “subtract,” and “bring down.” Keep your place value columns straight.

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Divide a 3 digit number by a 1 digit number using the steps
Divide, Multiply, Subtract, Compare, Bring Down.

Examples:
402 ÷ 6
649 ÷ 8

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Short Division

Short Division - 3 digits by 1 digit

Examples:

1. 126 ÷ 3
   
2. 184 ÷ 4
   
3. 162 ÷ 6
   
4. 161 ÷ 7

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A Better Way to Divide: Short Division
Short division is exactly what the name implies — a shorter way to divide. The mental process is actually no different from long division, but the written steps are. Short division also makes it easier to divide numbers mentally.

Examples:

1. 632 ÷ 4
   
2. 97104 ÷ 12

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Short Division
Divide from left to right, and carry where needed.

Examples:

1. 108 ÷ 3
   
2. 612 ÷ 6
   
3. 545 ÷ 5
   
4. 693 ÷ 3
   
5. 1216 ÷ 4
   
6. 485 ÷ 5
   
7. 816 ÷ 6

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Short Division Examples
This video shows a series of short division problems and also shows how to check the answer by multiplying.
Problems begin with easy examples like 48 divided by 2, and gets up to 1736 divided by 7.
This is a fast-paced review for someone who’s already been introduced to short division.

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Division Songs

Long Division Song
Divide, Multiply, Subtract, Bring Down
That’s How A Quotient is Found

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Long Division Song (Ho Hey Parody)

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Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

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