Need Help With Division Homework For Fourth

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Division worksheets for grades 3, 4, and 5

These are free, printable division worksheets, randomly generated, for grades 3-5. Topics include division facts, mental division, long division, division with remainders, order of operations, equations, and factoring.

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All worksheets come with an answer key; however, you need to click to the answer key page immediately after generating a worksheet, because the answer key also is generated 'on the fly', and won't exist later on, should you come looking for it later.

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Grade 4

Mental division worksheets


Division facts practice (tables 1-10)
Division facts practice (tables 1-12)
Missing dividend or divisor (basic facts)
Divide by 10 or 100
Divide by whole tens or hundreds
Divide whole tens and whole hundreds by 1-digit numbers mentally

Division with remainder within 1-100, based on basic facts
Division with remainder within 1-100
Division with remainder, divisor a whole ten
Division with remainder, divisor a whole hundred

Order of operations: add, subtract, multiply, divide, and parenthesis — three operations
Order of operations: add, subtract, multiply, divide, and parenthesis — four operations
Order of operations: add, subtract, multiply, divide, and parenthesis — five operations

 

Long division worksheets


Division facts practice (using the long division symbol)

Long division, 2-digit dividends, 1-digit divisor, exact division
Long division, 2-digit dividends, 1-digit divisor, remainders possible

Long division, 3-digit dividends, 1-digit divisor, exact division
Long division, 3-digit dividends, 1-digit divisor, remainders possible

Long division, 4-digit dividends, 1-digit divisor, exact division
Long division, 4-digit dividends, 1-digit divisor, remainders possible





Grade 5

Mental Division

Divide 3- and 4-digit numbers by 1-digit number mentally

Division with remainder within 1-100
Division with remainder, divisor a whole ten
Division with remainder, divisor a whole hundred

Long division


1-digit divisor, 4-digit dividend, no remainder
1-digit divisor, 4-digit dividend, remainder

2-digit divisor, 4-digit dividend, divisor between 11 and 35
2-digit divisor, 4-digit dividend, no remainder — (the divisor is any two-digit number)
2-digit divisor, 4-digit dividend, with remainder — (the divisor is any two-digit number)

Multiplication equations (missing factor; solve by long division)
Division equations (missing dividend or divisor; solve by long multiplication or long division)
Solve multiplication equations - using long division, 1 or 2-digit divisor
Solve division equations - use either long division or multiplication


Factoring worksheets


List all the factors of the given number

Factoring numbers within 4-100 to prime factors
Challenging factoring: factor numbers within 4-500 to prime factors



 

Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Learn how to solve long division with remainders, or practice your own long division problems and use this calculator to check your answers.

Long division with remainders is one of two methods of doing long division by hand. It is somewhat easier than solving a division problem by finding a quotient answer with a decimal. If you need to do long division with decimals use our Long Division with Decimals Calculator.

From the example above let's divide 487 by 32 showing the work.

Set up the division problem with the long division symbol or the long division bracket.

Put 487, the dividend, on the inside of the bracket. The dividend is the number you're dividing.
Put 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.

Divide the first number of the dividend, 4 by the divisor, 32.

4 divided by 32 is 0, with a remainder of 4. You can ignore the remainder for now.

Put the 0 on top of the division bracket.
This is the beginning of the quotient answer.

Next, multiply 0 by the divisor 32 and insert the result 0 below the first number of the dividend inside the bracket.

0 * 32 = 0

Draw a line under the 0 and subtract 0 from 4.

4 - 0 = 4

Bring down the next number of the dividend and insert it after the 4 so you have 48.

Divide 48 by the divisor, 32. The answer is 1. You can ignore the remainder for now.

48 ÷ 32 = 1

Note that you could skip all of the previous steps with zeros and jump straight to this step. You just need to realize how many digits in the dividend you need to skip over to get your first non-zero value in the quotient answer. In this case you could divide 32 into 48 straight away.

Put the 1 on top of the division bar, to the right of the 0. Next, multiply 1 by 32 and write the answer under 48.

1 * 32 = 32

Draw a line and subtract 32 from 48.

48 - 32 = 16

Bring down the next number from the dividend and insert it after the 16 so you have 167.

Divide 167 by the 32. See a pattern emerging?

167 ÷ 32 is 5 with a remainder of 7

Put the 5 on top of the division bar, to the right of the 1. Multiply 5 by 32 and write the answer under 167.

5 * 32 = 160

Draw a line and subtract 160 from 167.

167 - 160 = 7

Since 7 is less than 32 your long division is done. You have your answer: The quotient is 15 and the remainder is 7.

So, 487 ÷ 32 = 15 with a remainder of 7

For longer dividends, you would continue repeating the division and multiplication steps until you bring down every digit from the divdend and solve the problem.

Further Reading

At Ask Dr. Math you can find Instructions for Long Division for simple and more advanced long division problems.

Math is Fun also provides a step-by-step process for long division with Long Division with Remainders.

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