Long Division: 58 ÷ 42

Long Division Calculator
Dividend (number to be divided)
Divisor (number to divide by)

How to divide 58 by 42 using long division and find the remainder?

Answer

58 ÷ 42 = 1 remainder 16
58 ÷ 42 = 1 remainder 16

Visual Long Division

 
 
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1
4
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8
 
 
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2
 
 
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6

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

Step-by-Step Explanation

Here's how to solve 58 ÷ 42 using long division method step by step:

Step 1:Take the number 58 and divide by 42. We get 1 (write it in the quotient). Multiply 1 × 42 = 42 (write it below the dividend). Subtract 58 - 42 = 16. The remainder 16 is carried to the next step.
Final Step:The remainder 16 is smaller than the divisor 42, so the division is complete. The final answer is 1 with remainder 16.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
15811 × 42 = 4258 - 42 = 1616

Final remainder: 16

Since 16 is less than 42, we cannot divide further. The final answer is 1 with remainder 16.

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.

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 58 by 42 using long division and find the remainder? (The answer is: When dividing 58 by 42, we get quotient 1 and remainder 16. Result: 58 ÷ 42 = 1 remainder 16.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.

Long Division Table

DivisionQuotientRemainder
51 ÷ 4219
52 ÷ 42110
53 ÷ 42111
54 ÷ 42112
55 ÷ 42113
56 ÷ 42114
57 ÷ 42115
58 ÷ 42116
59 ÷ 42117
60 ÷ 42118
61 ÷ 42119
62 ÷ 42120
63 ÷ 42121
64 ÷ 42122
65 ÷ 42123

FAQ

How to divide 58 by 42 using long division and find the remainder?

58 ÷ 42 = 1 remainder 16

Is 58 divisible by 42?

No, 58 is not divisible by 42. The remainder is 16.

How to check the result of 58 ÷ 42?

Multiply the quotient 1 by the divisor 42 and add the remainder 16. The result should equal 58.