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Direct Long Division 163
Our answer is 5 with 36 remainder.
39
+1
5 r36
40 23.^31
Remember, these are only estimates. In the following case we have a
situation where the estimate is not correct, because 39 is less than 40.
Let’s say we want to divide 319 by 39. Again, we round off to 40.
Our calculation would look like this:
39
+1
40 319
We divide both numbers by 10.
39
+1
40 31.9
Four divides into 31 seven times, with 3 remainder. We write the
7 above the 1 in 31 and carry the 3 remainder to the next digit, 9,
making 39.
39
+1
7
40 31.^39
We multiply our answer, 7, by the +1 to get 7. We add 7 to 39,
giving an answer of 46, which is our remainder. We can’t have a
remainder greater than our divisor, so, in this case, we have to raise
the last digit of our answer by 1, to 8.

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