Using Long Division

Warmup

Enter TWO numbers to divide and press the ENTER key.

Activity #1

Introduce Long Division.

A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive, negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.

• Read the steps below used by a student to divide numbers.

Lin has a method of calculating quotients that is different from Elena’s method and Andre’s method. Here is how she found the quotient of 657 ÷ 3:

(1.) How is Lin’s method similar to and different from drawing base-ten diagrams or using the partial quotients method.

(2.) In the third step, why do you think Lin wrote the 7 next to the remainder of 2 rather than adding 7 and 2 to get 9?

Lin’s method is called long division.

• Use this method to find the quotients below. Check your answer by multiplying it by the divisor.

Activity #2

Long Division Exercise.

• Copy each question down in the format given.​
• Show all working.
• Check the box to verify your answer.
• Click to keep practicing.

Activity #3

Practice Long Division.

This worksheet allows you to practice a standard long division method. You are guided through the steps and prompted for answers. 

• If you need to, you can see the suitable times tables by clicking on the checkbox.​

Challenge #1

Kiran is using long division to find

He starts by dividing 69 by 12. In which decimal place should Kiran place the first digit of the quotient (5)?

(a.) Hundreds

(b.) Tens

(c.) Ones

(d.) Tenths

Challenge #2

Here is a long-division calculation of 917 ÷7.

(1.) There is a 7 under the 9 of 917. What does this 7 represent?

(2.) What does the subtraction of 7 from 9 mean?

(3.) Why is a 1 written next to the 2 from

Challenge #3