Long Division: 1235 ÷ 13

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to perform long division of 1235 by 13?

Answer: 1235 ÷ 13 = 95✓ exact division
1235 ÷ 13 = 95

Visual Long Division

 
 
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9
5
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5
 
 
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7
 
 
 
 
 
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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 1235 ÷ 13 using long division method step by step:

Step 1:Take the number 123 and divide by 13. We get 9 (write it in the quotient). Multiply 9 × 13 = 117 (write it below the dividend). Subtract 123 - 117 = 6. The remainder 6 is carried to the next step.
Step 2:Take the number 65 and divide by 13. We get 5 (write it in the quotient). Multiply 5 × 13 = 65 (write it below the dividend). Subtract 65 - 65 = 0.
Final Step:The division is complete with no remainder. 1235 divides exactly by 13 to give 95.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
112399 × 13 = 117123 - 117 = 66
26555 × 13 = 6565 - 65 = 00

Perfect division: 1235 divides evenly by 13 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.

See Also

About "Long Division Calculator" Calculator

Long division calculator with step-by-step explanation. Enter dividend (e.g. '29224' or '58.5') and divisor (e.g. '4' or '1.25') to get detailed solution with visualization.

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

FAQ

How to perform long division of 1235 by 13?

1235 ÷ 13 = 95 ✓ exact division

See Also