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I'm all for shortcuts if they work. For example, long division:
Instead of old way you can solve problems in your head sometimes.
For example: 5847295/29
You can round up to 30 and then solve 584729.5/3 keeping in mind you have a multiplier of 1.
So the answer is:
First number 1 (goes up to 2 because below is 10)
Carry over is 2 then 8... 28.
Second number is 28 + 1(number in first)*1(the multiplier) = 29/3
Second number is 9 (goes up to 10 because below is 11, shows as 0)
Carry over is 24
24 + 9*1 = 33/3 = 11 (will show as 1)
(7+11)/3 = 6
Carry over 2 + 6 = 8. 8/3 = 2 r 2
Next number is 2. (goes up to 3 because 10 is below)
Last number (29+2)/3 = 10 r 1 (shows as 0)
remainder is (15 + 10)/29
So answer is 201630 r 25/29
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