Long Division: 72 ÷ 35

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 72 by 35 using long division and find the remainder?

Answer

72 ÷ 35 = 2 remainder 2
72 ÷ 35 = 2 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 72 ÷ 35 using long division method step by step:

Step 1: Take the number 72 and divide by 35. We get 2 (write it in the quotient). Multiply 2 × 35 = 70 (write it below the dividend). Subtract 72 - 70 = 2. The remainder 2 is carried to the next step.
Final Step: The remainder 2 is smaller than the divisor 35, so the division is complete. The final answer is 2 with remainder 2.

Division Steps

Step Dividend Part Quotient Digit Multiply Subtract Remainder
1 72 2 2 × 35 = 70 72 - 70 = 2 2

Final remainder: 2

Since 2 is less than 35, we cannot divide further. The final answer is 2 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 72 by 35 using long division and find the remainder? (The answer is: When dividing 72 by 35, we get quotient 2 and remainder 2. Result: 72 ÷ 35 = 2 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

Division Quotient Remainder
65 ÷ 35 1 30
66 ÷ 35 1 31
67 ÷ 35 1 32
68 ÷ 35 1 33
69 ÷ 35 1 34
70 ÷ 35 2 0
71 ÷ 35 2 1
72 ÷ 35 2 2
73 ÷ 35 2 3
74 ÷ 35 2 4
75 ÷ 35 2 5
76 ÷ 35 2 6
77 ÷ 35 2 7
78 ÷ 35 2 8
79 ÷ 35 2 9

FAQ

How to divide 72 by 35 using long division and find the remainder?
72 ÷ 35 = 2 remainder 2

Is 72 divisible by 35?
No, 72 is not divisible by 35. The remainder is 2.

How to check the result of 72 ÷ 35?
Multiply the quotient 2 by the divisor 35 and add the remainder 2. The result should equal 72.

See Also