Multi-digit Whole Number Division

Assignment: 06-Dividing Multi-digit Numbers

division1

The best tool to use when trying to solve a multi-digit multiplication problem as shown above is rounding.  Working with easier numbers will make the whole thing more bearable.  So, let’s say rather than 134, we’re working with 150.  150 does not go into 3, or 36, so we begin with 368.  150 goes into 368 twice, giving us the first step in the problem.

divisionstep1

You then multiply that 2 by 134 to get the 268 down below.  Subtracting 268 is where you get the 100.

divisionstep2

We still have the unused 5 in the original problem.  You bring down that 5 to end of the 100 to give you 1005, then it’s back to division, where the rounding comes in handy again.  Round 134 up to 150 again.  Because we’re rounding the 134 up so much, we want to give a little slack to the dividend, so we’ll round the 1005 up to 1050.  150 goes into 1050 7 times.

divisionstep3

Again we follow this with the multiplication (7×134) and subtraction (1005-938).

divisionstep4

134 does not go into 67.  In the next lesson, we will learn how to continue on with the division adding a decimal point, but for today, we will simply leaves the remainder shown in the original problem.  Keep in mind that after today, there will be very few problems where remainders are allowed, so marvel in them while you can.

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