Long Division for Dummies

Easy strategies for long division.

long division:    7/17894=

I randomly typed in the numbers to show how easy it can be.

for this problem you would see how many times 7 goes into 1. Since it cant go in evenly you add the next number.

now its 7/17= 7 fits in 17 2 whole times now we have 7/17894=2. 7*2=14. 17-14=3. the 3 gets carried down and is added to the next number. now its 38/7 it fits in 5 whole times, now we have 7/17894=25. 7*5=35. 38-35=3 the 3 gets carried down and added to the next number so were looking for 39/7. 7 fits into 39 5 whole times, now we have 7/17894=255. 7*5=35. 39-35=4. The 4 gets carried down to the next number and we get 44/7. 7 fits into 44, 6 whole times, now we have 7/17894=2556. 7*6=42. 44-42=2. To finish it off we do 2/7 and if you knew your power fractions you would know 1/7 is 0.142 so 2/7 = 0.142*2   AKA 0.284. Our final answer is 7/17894=2556.284

Our answer is 2556.284

Here’s a picture to help you understand

                         

Power fractions:

1/2=0.500
1/3=0.333
1/4=0.250
1/5=0.200
1/6=0.166
1/7=0.142
1/8=0.125
1/9=0.111

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