Long Division: 385 ÷ 13

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

How to divide 385 by 13 using long division and find the remainder?

Answer

385 ÷ 13 = 29 remainder 8
385 ÷ 13 = 29 remainder 8

Visual Long Division

 
 
0
2
9
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3
8
5
 
 
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6
 
 
 
1
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7
 
 
 
 
8

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

Step-by-Step Explanation

Here's how to solve 385 ÷ 13 using long division method step by step:

Step 1:Take the number 38 and divide by 13. We get 2 (write it in the quotient). Multiply 2 × 13 = 26 (write it below the dividend). Subtract 38 - 26 = 12. The remainder 12 is carried to the next step.
Step 2:Take the number 125 and divide by 13. We get 9 (write it in the quotient). Multiply 9 × 13 = 117 (write it below the dividend). Subtract 125 - 117 = 8. The remainder 8 is carried to the next step.
Final Step:The remainder 8 is smaller than the divisor 13, so the division is complete. The final answer is 29 with remainder 8.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
13822 × 13 = 2638 - 26 = 1212
212599 × 13 = 117125 - 117 = 88

Final remainder: 8

Since 8 is less than 13, we cannot divide further. The final answer is 29 with remainder 8.

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 divide 385 by 13 using long division and find the remainder? (The answer is: When dividing 385 by 13, we get quotient 29 and remainder 8. Result: 385 ÷ 13 = 29 remainder 8.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Recalculate with different values ↑

Long Division Table

DivisionQuotientRemainder
117 ÷ 1390
130 ÷ 13100
143 ÷ 13110
156 ÷ 13120
169 ÷ 13130
182 ÷ 13140
195 ÷ 13150
385 ÷ 13298
989 ÷ 13761
999 ÷ 137611
1,000 ÷ 137612
1,300 ÷ 131000
1,326 ÷ 131020
5,499 ÷ 134230
9,999 ÷ 137692

FAQ

How to divide 385 by 13 using long division and find the remainder?

385 ÷ 13 = 29 remainder 8

Is 385 divisible by 13?

No, 385 is not divisible by 13. The remainder is 8.

How to check the result of 385 ÷ 13?

Multiply the quotient 29 by the divisor 13 and add the remainder 8. The result should equal 385.

See Also