Long Division: 138 ÷ 6

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to perform long division of 138 by 6?

Answer

138 ÷ 6 = 23✓ exact division
138 ÷ 6 = 23

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 138 ÷ 6 using long division method step by step:

Step 1:Take the number 13 and divide by 6. We get 2 (write it in the quotient). Multiply 2 × 6 = 12 (write it below the dividend). Subtract 13 - 12 = 1. The remainder 1 is carried to the next step.
Step 2:Take the number 18 and divide by 6. We get 3 (write it in the quotient). Multiply 3 × 6 = 18 (write it below the dividend). Subtract 18 - 18 = 0.
Final Step:The division is complete with no remainder. 138 divides exactly by 6 to give 23.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
11322 × 6 = 1213 - 12 = 11
21833 × 6 = 1818 - 18 = 00

Perfect division: 138 divides evenly by 6 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

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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 perform long division of 138 by 6? (The answer is: The division of 138 by 6 is exact. Result: 138 ÷ 6 = 23.). 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
131 ÷ 6215
132 ÷ 6220
133 ÷ 6221
134 ÷ 6222
135 ÷ 6223
136 ÷ 6224
137 ÷ 6225
138 ÷ 6230
139 ÷ 6231
140 ÷ 6232
141 ÷ 6233
142 ÷ 6234
143 ÷ 6235
144 ÷ 6240
145 ÷ 6241

FAQ

How to perform long division of 138 by 6?

138 ÷ 6 = 23 ✓ exact division

Is 138 divisible by 6?

Yes, 138 is divisible by 6. The result is 23.

How to check the result of 138 ÷ 6?

Multiply the quotient 23 by the divisor 6. The result should equal 138.

See Also