Long Division: 137 ÷ 45

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 137 by 45 using long division and find the remainder?

Answer

137 ÷ 45 = 3 remainder 2
137 ÷ 45 = 3 remainder 2

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 137 ÷ 45 using long division method step by step:

Step 1:Take the number 137 and divide by 45. We get 3 (write it in the quotient). Multiply 3 × 45 = 135 (write it below the dividend). Subtract 137 - 135 = 2. The remainder 2 is carried to the next step.
Final Step:The remainder 2 is smaller than the divisor 45, so the division is complete. The final answer is 3 with remainder 2.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
113733 × 45 = 135137 - 135 = 22

Final remainder: 2

Since 2 is less than 45, we cannot divide further. The final answer is 3 with remainder 2.

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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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 137 by 45 using long division and find the remainder? (The answer is: When dividing 137 by 45, we get quotient 3 and remainder 2. Result: 137 ÷ 45 = 3 remainder 2.). 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
130 ÷ 45240
131 ÷ 45241
132 ÷ 45242
133 ÷ 45243
134 ÷ 45244
135 ÷ 4530
136 ÷ 4531
137 ÷ 4532
138 ÷ 4533
139 ÷ 4534
140 ÷ 4535
141 ÷ 4536
142 ÷ 4537
143 ÷ 4538
144 ÷ 4539

FAQ

How to divide 137 by 45 using long division and find the remainder?

137 ÷ 45 = 3 remainder 2

Is 137 divisible by 45?

No, 137 is not divisible by 45. The remainder is 2.

How to check the result of 137 ÷ 45?

Multiply the quotient 3 by the divisor 45 and add the remainder 2. The result should equal 137.

See Also