One Division, Three Steps
The page 42 layout for 2,142 divided by 8, with each step marked.
A long division math problem: the digit 8 outside to the left of a vertical bar with a curve over the top; inside, the d…
The student divides a four-digit number by a single digit, writing each quotient digit in its own place.
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The page 42 layout for 2,142 divided by 8, with each step marked.
A long division math problem: the digit 8 outside to the left of a vertical bar with a curve over the top; inside, the d…
Divide, write, subtract, bring down - then do it again.
We always start long division from the extreme left of the dividend. Working left-to-right ensures that every part of the number is broken down properly, and the quotient comes out the right size.
The book's own example, worked through its three steps.
Problem. Divide by .
Step 1. We start with the thousands. As , we take the next digit, , together with it and divide hundreds by .
Recite the table of : and .
The quotient digit is with remainder . Write at the hundreds place.
Worksheet 2 question 1(d), faded step by step.
Let us divide 2,786 by 3 step-by-step. Since 2 is smaller than 3, we take the first two digits together and divide 27 by 3 to get the first quotient digit of . We subtract 27 to get 0, then bring down the 8. Dividing 8 by 3 gives a quotient of 2. We subtract 6 to get 2, and bring down the 6 to make . Dividing 26 by 3 gives 8 with a remainder of 2. We check our answer with the relation: 3 times 928 plus 2 equals .
Three divisions from Worksheet 2 question 2, each with its check.
Solve these three division problems: (a) (e) (f)
Note for (f): Because the first digit is smaller than , take the first two digits together. Your quotient should have three digits, not four.
Provide your final answer for all three problems.
Describe your step-by-step process and write out the check relation you used.