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Division Tips and Tricks

Draw a Picture

If you're just starting out with division, drawing a picture may help you to understand division problems better. First, draw the same number of boxes as the number for the divisor. Then move from box to box adding in a dot that represents 1 out of the total dividend. The number that you have in each box is the answer.

In the picture below we are trying to solve 20 ÷ 4 = ?. We have drawn 4 boxes. We start putting in the 20 dots one box at a time. We end up with 5 dots in each box. The answer is 5.





Check Your Answer by Multiplying

If you know how to multiply well, then you can use this to check your answers. Just take the quotient, or answer, and multiply it by the divisor. You should get the dividend.

Division by Subtraction

Another way to do division is to keep subtracting the the divisor from the dividend until you get to the answer. Here is an example:

532 ÷ 97 = ?



Once you've reached a point where subtracting by 97 gives you an answer that is less than 97, then you are done. Just count up the number of times you subtracted 97, that's your answer. The number that was left over from the last subtraction is your remainder.

Divide by Three Trick

This is a fun trick. If the sum of the digits in a number can be divided by three, then the number can as well.

Examples:

1) The number 12. The digits 1+2=3 and 12 ÷ 3 = 4.

2) The number 1707. The digits 1+7+0+7=15, which is divisible by 3. It turns out that 1707 ÷ 3 = 569.

3) The number 25533708 = 2+5+5+3+3+7+0+8 = 33, which ÷ 3 = 11. It turns out that 25533708 ÷ 3 = 8511236.

More Divide by Number Tricks


Advanced Kids Math Subjects

Multiplication
Intro to Multiplication
Long Multiplication
Multiplication Tips and Tricks

Division
Intro to Division
Long Division
Division Tips and Tricks

Fractions
Intro to Fractions
Equivalent Fractions
Simplifying and Reducing Fractions
Adding and Subtracting Fractions
Multiplying and Dividing Fractions

Decimals
Decimals Place Value
Adding and Subtracting Decimals
Multiplying and Dividing Decimals 		Statistics
Mean, Median, Mode, and Range
Picture Graphs

Algebra
Order of Operations
Exponents
Ratios
Ratios, Fractions, and Percentages

Geometry
Polygons
Quadrilaterals
Triangles
Pythagorean Theorem
Circle
Perimeter
Surface Area

Misc
Basic Laws of Math
Prime Numbers
Roman Numerals
Binary Numbers


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