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Visualize step-by-step long division with full bracket notation. Shows divide, multiply, subtract, and bring down steps with options for decimal places or remainders. Perfect for learning long division.
Enter dividend and divisor to see the visual division
Enter the dividend (the number being divided) and divisor (the number you're dividing by). The calculator will automatically perform the division and show all steps.
Decide whether you want to see the answer with a remainder (like 7 R 2) or as a decimal (like 7.5). You can also choose how many decimal places to show if using decimals.
The calculator shows each step of the long division process: divide, multiply, subtract, and bring down. Each step is explained clearly so you can understand exactly how the answer was calculated.
Long division is a method for dividing large numbers by breaking the problem into a series of smaller steps. The process follows a repeating pattern: Divide, Multiply, Subtract, and Bring down (often remembered as "Does McDonald's Sell Burgers" or "Dad, Mother, Sister, Brother").
Step 1: 12 goes into 15 once (1). Write 1 in quotient.
Step 2: 1 × 12 = 12. Write 12 under 15.
Step 3: 15 - 12 = 3. Write 3 below.
Step 4: Bring down 6 to make 36.
Step 5: 12 goes into 36 three times (3). Write 3 in quotient.
Step 6: 3 × 12 = 36. Write 36 under 36.
Step 7: 36 - 36 = 0. No remainder!
Answer: 156 ÷ 12 = 13
When the division doesn't come out evenly, you have two options:
Long division is a method for dividing large numbers by hand using a step-by-step process. It breaks down division into repeated cycles of divide, multiply, subtract, and bring down. The method is called 'long' because it requires multiple steps and uses a vertical format with a division bracket.
Use remainders when the problem asks for a whole number answer or in contexts where partial units don't make sense (like dividing 7 cookies among 3 people - you can't split a cookie, so you'd say 2 cookies each with 1 remaining). Use decimals when precision matters or when partial amounts are meaningful (like dividing money or measuring distances).
If the divisor is larger than the first digit of the dividend, look at the first two digits together. For example, in 156 ÷ 12, since 12 doesn't fit into 1, we look at 15 instead. If needed, continue to the third digit, and so on.
To continue division into decimal places, add a decimal point to the quotient after using all digits of the dividend, then add zeros to the dividend and continue the division process. Each zero you add and bring down gives you one more decimal place in your answer.
After subtracting in each step, you 'bring down' the next digit from the dividend by writing it next to your subtraction result. This creates a new number to divide by the divisor in the next step. It's like working through the dividend one digit at a time.
Yes! Multiply the quotient by the divisor and add any remainder. You should get the original dividend. For example, if 156 ÷ 12 = 13, check: 13 × 12 = 156 ✓. If there's a remainder: 17 ÷ 5 = 3 R 2, check: (3 × 5) + 2 = 17 ✓.