Long Division
Long division is a step-by-step method for dividing large numbers by breaking the problem into a series of smaller calculations.
What You Need to Know
Key Concept Diagram
Long division uses four repeating steps: Divide, Multiply, Subtract, Bring down (DMSB)
Start dividing from the leftmost digit and work right through each digit of the dividend
A remainder is what is left over when the dividend cannot be divided exactly
You can express a remainder as a fraction: e.g. 17 ÷ 5 = 3 remainder 2, or 3 2/5
Key Vocabulary
Dividend
The number being divided in a division problem
Divisor
The number you are dividing by
Quotient
The result (answer) of a division calculation
Remainder
The amount left over when a number does not divide evenly
Knowledge Check
Select the correct answer for each question. Click "Check Answer" to see if you are right.
Question 1
What is 96 ÷ 4?
Question 2
Calculate 135 ÷ 5.
Question 3
What is the remainder when 83 is divided by 6?
Key Concepts Summary
- ●Long division uses four repeating steps: Divide, Multiply, Subtract, Bring down (DMSB)
- ●Start dividing from the leftmost digit and work right through each digit of the dividend
- ●A remainder is what is left over when the dividend cannot be divided exactly
- ●You can express a remainder as a fraction: e.g. 17 ÷ 5 = 3 remainder 2, or 3 2/5