Long Division: 137000 ÷ 12

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 137000 by 12 using long division and find the remainder?

Answer

137000 ÷ 12 = 11416 remainder 8
137000 ÷ 12 = 11416 remainder 8

Visual Long Division

 
 
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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 137000 ÷ 12 using long division method step by step:

Step 1:Take the number 13 and divide by 12. We get 1 (write it in the quotient). Multiply 1 × 12 = 12 (write it below the dividend). Subtract 13 - 12 = 1. The remainder 1 is carried to the next step.
Step 2:Take the number 17 and divide by 12. We get 1 (write it in the quotient). Multiply 1 × 12 = 12 (write it below the dividend). Subtract 17 - 12 = 5. The remainder 5 is carried to the next step.
Step 3:Take the number 50 and divide by 12. We get 4 (write it in the quotient). Multiply 4 × 12 = 48 (write it below the dividend). Subtract 50 - 48 = 2. The remainder 2 is carried to the next step.
Step 4:Take the number 20 and divide by 12. We get 1 (write it in the quotient). Multiply 1 × 12 = 12 (write it below the dividend). Subtract 20 - 12 = 8. The remainder 8 is carried to the next step.
Step 5:Take the number 80 and divide by 12. We get 6 (write it in the quotient). Multiply 6 × 12 = 72 (write it below the dividend). Subtract 80 - 72 = 8. The remainder 8 is carried to the next step.
Final Step:The remainder 8 is smaller than the divisor 12, so the division is complete. The final answer is 11416 with remainder 8.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
11311 × 12 = 1213 - 12 = 11
21711 × 12 = 1217 - 12 = 55
35044 × 12 = 4850 - 48 = 22
42011 × 12 = 1220 - 12 = 88
58066 × 12 = 7280 - 72 = 88

Final remainder: 8

Since 8 is less than 12, we cannot divide further. The final answer is 11416 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.

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See Also

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 divide 137000 by 12 using long division and find the remainder? (The answer is: When dividing 137000 by 12, we get quotient 11416 and remainder 8. Result: 137000 ÷ 12 = 11416 remainder 8.). 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
136993 ÷ 12114161
136994 ÷ 12114162
136995 ÷ 12114163
136996 ÷ 12114164
136997 ÷ 12114165
136998 ÷ 12114166
136999 ÷ 12114167
137000 ÷ 12114168
137001 ÷ 12114169
137002 ÷ 121141610
137003 ÷ 121141611
137004 ÷ 12114170
137005 ÷ 12114171
137006 ÷ 12114172
137007 ÷ 12114173

FAQ

How to divide 137000 by 12 using long division and find the remainder?

137000 ÷ 12 = 11416 remainder 8

Is 137000 divisible by 12?

No, 137000 is not divisible by 12. The remainder is 8.

How to check the result of 137000 ÷ 12?

Multiply the quotient 11416 by the divisor 12 and add the remainder 8. The result should equal 137000.