Long Division: 968 ÷ 8

Long Division Calculator
Dividend (number to be divided)
Divisor (number to divide by)

How to perform long division of 968 by 8?

Answer

968 ÷ 8 = 121

✓ exact division

968 ÷ 8 = 121

Visual Long Division

 
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8
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8
 
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6
 
 
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8
 
 
 
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This shows the traditional long division layout used in schools, with each step clearly marked.

Step-by-Step Explanation

Here's how to solve 968 ÷ 8 using long division method step by step:

Step 1:Take the number 9 and divide by 8. We get 1 (write it in the quotient). Multiply 1 × 8 = 8 (write it below the dividend). Subtract 9 - 8 = 1. The remainder 1 is carried to the next step.
Step 2:Take the number 16 and divide by 8. We get 2 (write it in the quotient). Multiply 2 × 8 = 16 (write it below the dividend). Subtract 16 - 16 = 0.
Step 3:Take the number 8 and divide by 8. We get 1 (write it in the quotient). Multiply 1 × 8 = 8 (write it below the dividend). Subtract 8 - 8 = 0.
Final Step:The division is complete with no remainder. 968 divides exactly by 8 to give 121.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1911 × 8 = 89 - 8 = 11
21622 × 8 = 1616 - 16 = 00
3811 × 8 = 88 - 8 = 00

Perfect division: 968 divides evenly by 8 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

See Also

Long Division 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 968 by 8? (The answer is: The division of 968 by 8 is exact. Result: 968 ÷ 8 = 121.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.

Long Division Table

DivisionQuotientRemainder
792 ÷ 8990
832 ÷ 81040
848 ÷ 81060
864 ÷ 81080
896 ÷ 81120
920 ÷ 81150
936 ÷ 81170
968 ÷ 81210
984 ÷ 81230
986 ÷ 81232
991 ÷ 81237
1,000 ÷ 81250
2,440 ÷ 83050
3,672 ÷ 84590
4,032 ÷ 85040

FAQ

How to perform long division of 968 by 8?

968 ÷ 8 = 121

Is 968 divisible by 8?

Yes, 968 is divisible by 8. The result is 121.

How to check the result of 968 ÷ 8?

Multiply the quotient 121 by the divisor 8. The result should equal 968.