Long Division: 420 ÷ 35

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

How to perform long division of 420 by 35?

Answer

420 ÷ 35 = 12

✓ exact division

420 ÷ 35 = 12

Visual Long Division

 
 
0
1
2
3
5
4
2
0
 
 
−
3
5
 
 
 
 
7
0
 
 
 
−
7
0
 
 
 
 
0

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

Step-by-Step Explanation

Here's how to solve 420 ÷ 35 using long division method step by step:

Step 1:Take the number 42 and divide by 35. We get 1 (write it in the quotient). Multiply 1 × 35 = 35 (write it below the dividend). Subtract 42 - 35 = 7. The remainder 7 is carried to the next step.
Step 2:Take the number 70 and divide by 35. We get 2 (write it in the quotient). Multiply 2 × 35 = 70 (write it below the dividend). Subtract 70 - 70 = 0.
Final Step:The division is complete with no remainder. 420 divides exactly by 35 to give 12.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
14211 × 35 = 3542 - 35 = 77
27022 × 35 = 7070 - 70 = 00

Perfect division: 420 divides evenly by 35 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

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 perform long division of 420 by 35? (The answer is: The division of 420 by 35 is exact. Result: 420 ÷ 35 = 12.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Recalculate with different values ↑

Long Division Table

DivisionQuotientRemainder
178 ÷ 3553
210 ÷ 3560
245 ÷ 3570
280 ÷ 3580
315 ÷ 3590
350 ÷ 35100
385 ÷ 35110
420 ÷ 35120
490 ÷ 35140
525 ÷ 35150
1,000 ÷ 352820
3,500 ÷ 351000
9,999 ÷ 3528524
10,000 ÷ 3528525
35,000 ÷ 351,0000

FAQ

How to perform long division of 420 by 35?

420 ÷ 35 = 12

Is 420 divisible by 35?

Yes, 420 is divisible by 35. The result is 12.

How to check the result of 420 ÷ 35?

Multiply the quotient 12 by the divisor 35. The result should equal 420.

See Also