Long Division: 972 ÷ 9

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to perform long division of 972 by 9?

Answer

972 ÷ 9 = 108✓ exact division
972 ÷ 9 = 108

Visual Long Division

 
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0
8
9
9
7
2
 
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9
 
 
 
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7
 
 
 
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7
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0

This shows the traditional long division layout used in schools, with each step clearly marked.

Step-by-Step Explanation

Here's how to solve 972 ÷ 9 using long division method step by step:

Step 1:Take the number 9 and divide by 9. We get 1 (write it in the quotient). Multiply 1 × 9 = 9 (write it below the dividend). Subtract 9 - 9 = 0.
Step 2:Number 7 is less than divisor 9, so we write 0 in the quotient and move to the next digit.
Step 3:Take the number 72 and divide by 9. We get 8 (write it in the quotient). Multiply 8 × 9 = 72 (write it below the dividend). Subtract 72 - 72 = 0.
Final Step:The division is complete with no remainder. 972 divides exactly by 9 to give 108.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1911 × 9 = 99 - 9 = 00
2700 × 9 = 07 - 0 = 77
37288 × 9 = 7272 - 72 = 00

Perfect division: 972 divides evenly by 9 with no remainder.

About Long Division

Long division is a method for dividing large numbers that breaks down the division process into smaller, manageable steps. It's taught in elementary school as a systematic way to perform division by hand.

The process involves:

  • Dividing the leftmost digits of the dividend by the divisor
  • Writing the quotient digit above the dividend
  • Multiplying the quotient digit by the divisor
  • Subtracting this product from the current dividend portion
  • Bringing down the next digit and repeating the process

This method ensures accuracy and helps students understand the relationship between multiplication and division.

Related Calculations

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About "Long Division Calculator" Calculator

Long division calculator with step-by-step explanation. Enter dividend and divisor to get a detailed solution with visualization. For example, it can help you find out how to perform long division of 972 by 9? (The answer is: The division of 972 by 9 is exact. Result: 972 ÷ 9 = 108.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

Long Division Table

DivisionQuotientRemainder
965 ÷ 91072
966 ÷ 91073
967 ÷ 91074
968 ÷ 91075
969 ÷ 91076
970 ÷ 91077
971 ÷ 91078
972 ÷ 91080
973 ÷ 91081
974 ÷ 91082
975 ÷ 91083
976 ÷ 91084
977 ÷ 91085
978 ÷ 91086
979 ÷ 91087

FAQ

How to perform long division of 972 by 9?

972 ÷ 9 = 108 ✓ exact division

Is 972 divisible by 9?

Yes, 972 is divisible by 9. The result is 108.

How to check the result of 972 ÷ 9?

Multiply the quotient 108 by the divisor 9. The result should equal 972.

See Also