division as repeated subtraction
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Division as...Repeated Subtraction...
20 5
means
dividing 20 into 5 parts
20 5
means
dividing 20 into 5 parts
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 1
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 2
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 3
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 4
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 1
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 2
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 3
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 4
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5 1
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5 2
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5 3
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5 4
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5 5
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5 5 1
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5 5 2
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5 5 3
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5 5 4
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
now, we are left with 20 5 5 5 5
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
Since each box gets 4 blocks, the Quotient is 4
Since after division, no block is left, the Remainder is 0
20 5 is the same as 20 5 5 5 5 / r0
Box 1
Box 2
Box 3
Box 4
Box 5
20 5
means
dividing 20 into 5 parts
Q = 4
R = 0
Since each box gets 4 blocks, the Quotient is 4
Since after division, no block is left, the Remainder is 0
20 5 is the same as 20 5 5 5 5 / r0
Another Example . . .
17 3
means
dividing 17 into 3 parts
how many boxes to take?
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 1
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 2
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 1
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 2
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 3
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 3 1
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 3 2
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 3 3
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 3 3 1
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 3 3 2
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 3 3 3
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 3 3 3 1
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 3 3 3 2
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
now, we are left with 17 3 3 3 3 3
Box 1
Box 2
Box 3
17 3
means
dividing 17 into 3 parts
123
345
412
534
251
now, we are left with 17 3 3 3 3 3
17 3
means
dividing 17 into 3 parts
Box 1
Box 2
Box 3
123345412534251
Q = 5
R =
now, we are left with 17 3 3 3 3 3
17 3
means
dividing 17 into 3 parts
Box 1
Box 2
Box 3
123345412534251
Q = 5
R =
now, we are left with 17 3 3 3 3 3
17 3
means
dividing 17 into 3 parts
Box 1
Box 2
Box 3
123345412534251
Q = 5
R = 2
now, we are left with 17 3 3 3 3 3