# Long Division Problem Solving

So, the whole number needs to be divided: How many times can 4 go into 38 without going over?

Say that Alex wants to make 4 walls from 38 blocks: When trying to divide the first digit in the dividend, you will notice that it is smaller than the divisor.When using long division, we write out equations using a long division bracket.The dividend (the number being divided) goes inside the bracket, while the divisor (the number by which the dividend is being divided) goes to the left of the bracket.Alex's problem would look like this, with the dividend (56) inside the brackets and the divisor (4) outside the bracket : Let's work through these steps with Alex's long division problem.Start by looking at the digit that's in the largest place value of the dividend, which is always the first digit (in this case, it's 5).The quotient is 1, and that goes above the bracket over the first digit of the dividend, like this: Next, multiply the divisor outside of the bracket by the quotient on top of the bracket.In Alex's case, that would be 4 x 1, which equals 4. You will often see other versions, which are generally just a shortened version of the process below.You can also see this done in Long Division Animation. To find how many cookies did Mark put in each packet, divide the total number of cookies by the number of packs. Nancy needs 5 lemons to make a glass of orange juice. We get, divide 108 by 12108 ÷ 12 = 9Therefore, there are 9 seats in each row. We get, divide 63 by 963 ÷ 9 = 7Therefore, Tom gives 7 apples to each of his friends. Mark baked 195 cookies and divided them equally into 13 packs. Solution: Total number of cookies = 195There are 13 packs.

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