How to do Short Division How to do Short Division Literal meaning of division is equal distribution. In initial learning stage, division sums are also solved by repetitive subtraction. Let us see it through an example. Divide 30 by 5, this clearly says that if 30 is equally divided in 5 equal parts, how many Numbers will be there in each. The question can be reframed in the following statement: if mother has 30 oranges, which are to be equally distributed among 5 members in a family, then how many oranges will each member of the family gets? Now we will learn how to do short division: She simply picks 5 oranges from the basket and gave to every member of the family, the left over oranges are: 30 - 5 =25 ---- ( 1 ), In this way every time she picks 5 oranges and give one to each family member In second step 25 - 5 = 20 ---- ( 2 ) In third step 20 - 5 = 15 ----( 3 ) In fourth step 15 - 5 = 10 ----( 4 ) In fifth step 10 - 5 = 5 ----( 5) In sixth step 5 - 5 = 0 ----( 6) This shows that each family member gets 6 oranges each. So 30 รท 5 = 6, we also observe that when we count the table of 5 up to 30, then 5 X 6 = 30 Here 30 is the dividend, 5 is the divisor and 6 is the quotient. We have learned that Dividend รท divisor = quotient. Know More About :- Comparing Whole Numbers

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Division and multiplication are related to each other From above example divisor X Quotient = Dividend, We take some more related questions: 1. 49 รท 7 = 9, which can also be written as 49 รท 9 = 7. 2. 72 รท 9 = 8, it can be written as 72 รท 8 = 9. This method can be used to save paper when you are dividing by a one- digit number. You do all the same work as in long division, but do most of it in your head. I would have expected your text to tell you what it is before asking you to use it. I'll demonstrate on a problem like yours, first as long division: ____5_8_ 3)175 15 --25 24 --1 and then as short division: ____5_8_rem_1 2 3)175 The extra 2 is meant to be a small raised 2 just to the left of the 5. What I did here was to divide 17 by 3, giving 5, and subtract 17-15 in my head, leaving a remainder of 2. Then, where in long division I would "bring down" the 5, I instead "put up" the 2 next to the 5, making the new dividend 25. Now I divide 25 by 3 and get 8; when I subtract 25-24 in my head I just write the remainder in the answer. Your specific problem is even easier than this one; I didn't do yours because I couldn't have demonstrated putting up the remainder. Read More About :- Associate Property of Multiplication

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