Long Division: 118000 ÷ 12

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Dividend (number to be divided)
Divisor (number to divide by)

How to divide 118,000 by 12 using long division and find the remainder?

Answer

118,000 ÷ 12 = 9,833 remainder 4
118,000 ÷ 12 = 9,833 remainder 4

Visual Long Division

 
 
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4

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

Step-by-Step Explanation

Here's how to solve 118,000 ÷ 12 using long division method step by step:

Step 1:Take the number 118 and divide by 12. We get 9 (write it in the quotient). Multiply 9 × 12 = 108 (write it below the dividend). Subtract 118 - 108 = 10. The remainder 10 is carried to the next step.
Step 2:Take the number 100 and divide by 12. We get 8 (write it in the quotient). Multiply 8 × 12 = 96 (write it below the dividend). Subtract 100 - 96 = 4. The remainder 4 is carried to the next step.
Step 3:Take the number 40 and divide by 12. We get 3 (write it in the quotient). Multiply 3 × 12 = 36 (write it below the dividend). Subtract 40 - 36 = 4. The remainder 4 is carried to the next step.
Step 4:Take the number 40 and divide by 12. We get 3 (write it in the quotient). Multiply 3 × 12 = 36 (write it below the dividend). Subtract 40 - 36 = 4. The remainder 4 is carried to the next step.
Final Step:The remainder 4 is smaller than the divisor 12, so the division is complete. The final answer is 9,833 with remainder 4.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
111899 × 12 = 108118 - 108 = 1010
210088 × 12 = 96100 - 96 = 44
34033 × 12 = 3640 - 36 = 44
44033 × 12 = 3640 - 36 = 44

Final remainder: 4

Since 4 is less than 12, we cannot divide further. The final answer is 9,833 with remainder 4.

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 118,000 by 12 using long division and find the remainder? (The answer is: When dividing 118,000 by 12, we get quotient 9,833 and remainder 4. Result: 118,000 ÷ 12 = 9,833 remainder 4.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Recalculate with different values ↑

Long Division Table

DivisionQuotientRemainder
111,000 ÷ 129,2500
112,000 ÷ 129,3334
113,000 ÷ 129,4168
114,000 ÷ 129,5000
115,000 ÷ 129,5834
116,000 ÷ 129,6668
117,000 ÷ 129,7500
118,000 ÷ 129,8334
119,000 ÷ 129,9168
120,000 ÷ 1210,0000
121,000 ÷ 1210,0834
122,000 ÷ 1210,1668
123,000 ÷ 1210,2500
124,000 ÷ 1210,3334
125,000 ÷ 1210,4168

FAQ

How to divide 118,000 by 12 using long division and find the remainder?

118,000 ÷ 12 = 9,833 remainder 4

Is 118,000 divisible by 12?

No, 118,000 is not divisible by 12. The remainder is 4.

How to check the result of 118,000 ÷ 12?

Multiply the quotient 9,833 by the divisor 12 and add the remainder 4. The result should equal 118,000.

See Also