Arithmetic Grade Three

Lesson One hundred twenty-nine: Division with Remainders

Here's a step-by-step animation of the process of doing a division problem involving a three digit number being divided by a one digit number.
  • The Problem: 253/11
  • Divide: 11 into 25
  • Multiply: 2 * 11 = 22
  • Subtract: 25 - 22 = 3
  • Bring Down: 3
  • Divide: 11 into 33
  • Multiply: 3 * 11 = 33
  • Subtract: 33 - 33 = 0
  • ANSWER: 23

Here's another (non-animated) example. This one has a remainder. 

            64 r 1
     	 +----                 
       5 | 321                 1. Divide 5 into 32 
           30		       2. Multiply 5 x 6 = 30
          ----                 3. Subract 32 - 30 = 2
            21                 4. Bring down the 1
            20                 5. Divide 5 into 21
           ----                6. Multiply 5 x 4 = 20
             1                 7. Subtract 21 - 20 = 1
                               8. Write remainder



  Consider these two problems:

       +-----                     +-----
     5 | 333			5 | 555


     In 333 / 5 we start dividing in the tens column and in 555 / 5 we 
     begin dividing in the hundreds column. WHY?

     In 333 / 5, we cannot divide 3 by 5, but we can divide 33 by 5 and
     so starting in the tens column makes sense.

     In 555 / 5, we can divide 5 by 5 and so we start in the hundreds 
     column.

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