Long Division Calculator

Enter the dividend and divisor to see the step-by-step solution.

What is Division?

Division is a fundamental arithmetic operation that is the inverse of multiplication. It is the process of splitting a number (the dividend) into an equal number of parts or groups, determined by another number (the divisor).

How Long Division Works: An Example

Let's solve the problem: 4384 ÷ 16

Long Division	Step-by-Step
16)4384	1. Setup: Put the dividend (4384) inside the bracket and the divisor (16) outside.
2 16)4384	2. Divide: Divide the first part of the dividend (43) by 16. The answer is 2. Place it on top.
2 16)4384 -32	3. Multiply: Multiply the new quotient digit (2) by the divisor (16). 2 × 16 = 32. Place this below 43.
2 16)4384 -32 --- 11	4. Subtract: Subtract 32 from 43. The result is 11.
2 16)4384 -32 --- 118	5. Bring Down: Bring down the next digit of the dividend (8) to make the new number 118.
27 16)4384 -32 --- 118	6. Repeat Divide: Divide 118 by 16. The answer is 7. Place it on top next to the 2.
27 16)4384 -32 --- 118 -112	7. Repeat Multiply: Multiply the new quotient digit (7) by the divisor (16). 7 × 16 = 112. Place this below 118.
27 16)4384 -32 --- 118 -112 ---- 64	8. Repeat Subtract & Bring Down: Subtract 112 from 118 to get 6. Bring down the next digit (4) to make 64.
274 16)4384 -32 --- 118 -112 ---- 64 -64 --- 0	9. Final Steps: Divide 64 by 16 to get 4. Multiply 4 by 16 to get 64. Subtract to get a final remainder of 0.

16 Times Table Reference

16 × 1 = 16

16 × 2 = 32

16 × 3 = 48

16 × 4 = 64

16 × 5 = 80

16 × 6 = 96

16 × 7 = 112

16 × 8 = 128

16 × 9 = 144

16 × 10 = 160

The final answer is 274 with a remainder of 0.

Dividend

Divisor