1-2-4-8 DivisionBy

Mr. EnglishGold Ridge Elementary School

Folsom, California

Step One

• What is our problem to solve. It is written below.

_________• 37 ) 8 5 4 3 4

Step Two• Write down '1x=' to the left of the divisor.

Leave two spaces in between.

_________• 1x = 37) 8 5 4 3 4

Step Three

• Write down '2x=' right below the '1x='.

_________• 1x = 37) 8 5 4 3 4• 2x =

Step Four

• Double the divisor and write it underneath - keeping the ones column lined up. Doubling 37 gets you 74.

___________• 1x = 37) 8 5 4 3 4• 2x = 74

Step Five

• Write down '4x=' right below the '2x='. (It would be easy to write three X instead, but remember you are doubling.

• ______________• 1x = 37) 8 5 4 3 4• 2x = 74• 4x =

Step Six

• Double the divisor again and write it underneath - keeping the ones column lined up. Doubling 74 gets you 148.

• _________• 1x = 37) 8 5 4 3 4• 2x = 74• 4x = 148

Step Seven

• Write down '8x=' right below the '4x='.

• _________• 1x = 37) 8 5 4 3 4• 2x = 74• 4x = 148• 8x =

Step Eight

• Double the divisor again and write it underneath - keeping the ones column lined up. Doubling 148 gets you 296.

• __________• 1x = 37) 8 5 4 3 4• 2x = 74• 4x = 148• 8x = 296

Step Nine• Look at the first two numbers in the dividend. They are “85”.

Choose the number from the divisor column that is closest to 85 to write under the dividend.

• _________• 1x = 37) 8 5 4 3 4• 2x = 74 7 4• 4x = 148• 8x = 296

Step Ten• Fill in to the right with zeros. Say to yourself, "ZERO, ZERO,

ZERO.”

• _________• 1x = 37) 8 5 4 3 4• 2x = 74 7 4 0 0 0• 4x = 148• 8x = 296

Step Eleven• Write the multiplier you used (1, 2, 4, or 8) on the right,

followed by the same number of zeros you just wrote. Say to yourself, "ZERO, ZERO, ZERO.”

• _________• 1x = 37) 8 5 4 3 4• 2x = 74 7 4 0 0 0 2000• 4x = 148• 8x = 296

Step Twelve• Subtract.

• _________• 1x = 37) 8 5 4 3 4• 2x = 74 – 7 4 0 0 0 2 0 0 0 • 4x = 148 1 1 4 3 4• 8x = 296

Step Thirteen• Choose the best number from the divisor column to write under the

dividend. Add enough 0’s to make sure your numbers align correctly.

• ________• 1x = 37) 8 5 4 3 4• 2x = 74 – 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 0 7 4

Step Fourteen• Fill in to the right with zeros. Say to yourself, "ZERO, ZERO.”

• _________• 1x = 37) 8 5 4 3 4• 2x = 74 – 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 7 4 0 0

Step Fifteen• Write the multiplier you used (1, 2, 4, or 8) on the right, followed by

the same number of zeros you just wrote. Say to yourself, "ZERO, ZERO.”

• _________• 1x = 37) 8 5 4 3 4• 2x = 74 – 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 0 7 4 0 0 2 0 0

Step Sixteen• Subtract.

_________1x = 37) 8 5 4 3 42x = 74 – 7 4 0 0 0 2 0 0 04x = 148 1 1 4 3 48x = 296 - 0 7 4 0 0 2 0 0 4 0 3 4

Step Seventeen• Choose the best number from the divisor column to write under the

dividend. Add enough 0’s to make sure your numbers align correctly.

• _________• 1x = 37) 8 5 4 3 4• 2x = 74 – 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 - 7 4 0 0 2 0 0• 4 0 3 4• 3 7

Step Eighteen• Fill in to the right with zeros. Say to yourself, "ZERO, ZERO.”

• _________• 1x = 37) 8 5 4 3 4• 2x = 74 – 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 - 7 4 0 0 2 0 0• 3 7 0 0

Step Nineteen• Write the multiplier you used (1, 2, 4, or 8) on the right, followed by

the same number of zeros you just wrote.

• ________• 1x = 37) 8 5 4 3 4• 2x = 74 - 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 – 0 7 4 0 0 2 0 0• 4 0 3 4• 3 7 0 0 1 0 0

Step Twenty• Subtract.

• ________• 1x = 37) 8 5 4 3 4• 2x = 74 - 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 – 0 7 4 0 0 2 0 0• 4 0 3 4• - 3 7 0 0 1 0 0• 3 3 4

Step Twenty-One• Choose the best number from the divisor column to write under

what's left of the dividend. ________• 1x = 37) 8 5 4 3 4• 2x = 74 - 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 – 0 7 4 0 0 2 0 0• 4 0 3 4• - 3 7 0 0 1 0 0• 3 3 4• 2 9 6

Step Twenty-Two• Write the multiplier you used (1, 2, 4, or 8) on the right. No need to

write any zeros afterwards. ________• 1x = 37) 8 5 4 3 4• 2x = 74 - 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 – 0 7 4 0 0 2 0 0• 4 0 3 4• - 3 7 0 0 1 0 0• 3 3 4• 2 9 6 8

Step Twenty-Three• Subtract. ________• 1x = 37) 8 5 4 3 4• 2x = 74 - 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 – 0 7 4 0 0 2 0 0• 4 0 3 4• - 3 7 0 0 1 0 0• 3 3 4• - 2 9 6 8 3 8

Step Twenty-Four• Choose the best number from the divisor column to write under

what's left of the dividend. ________• 1x = 37) 8 5 4 3 4• 2x = 74 - 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 – 0 7 4 0 0 2 0 0• 4 0 3 4• - 3 7 0 0 1 0 0• 3 3 4• - 2 9 6 8 3 8 3 7

Step Twenty-FiveWrite the multiplier you used (1, 2, 4, or 8) on the right. No need to write any

zeros afterwards. ________• 1x = 37) 8 5 4 3 4• 2x = 74 - 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 – 0 7 4 0 0 2 0 0• 4 0 3 4• - 3 7 0 0 1 0 0• 3 3 4• - 2 9 6 8 3 8 3 7 1

Step Twenty-SixSubtract. ==> Notice that the amount left over is less than the divisor - so

you're done. ________• 1x = 37) 8 5 4 3 4• 2x = 74 - 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 – 0 7 4 0 0 2 0 0• 4 0 3 4• - 3 7 0 0 1 0 0• 3 3 4• - 2 9 6 8 3 8 -3 7 1 1

Step Twenty-Seven• Add up your answer on the right. The remainder is 1.

________• 1x = 37) 8 5 4 3 4• 2x = 74 - 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 – 0 7 4 0 0 2 0 0• 4 0 3 4• - 3 7 0 0 1 0 0• 3 3 4• - 2 9 6 8 3 8 -3 7 + 1 1 2 3 0 9

Step Twenty-Eight• Write the answer on the top.

2 3 0 9 R 1• 1x = 37) 8 5 4 3 4• 2x = 74 - 7 4 0 0 0 2 0 0 0• 4x = 148 1 1 4 3 4• 8x = 296 – 0 7 4 0 0 2 0 0• 4 0 3 4• - 3 7 0 0 1 0 0• 3 3 4• - 2 9 6 8 3 8 -3 7 + 1 1 2 3 0 9