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Online Pre-Algebra Tutoring: Large Number Division

Home >> Online Math Tutoring >> Pre-Algebra Tutoring >> Divide Larger Numbers By 2 Digit Numbers

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Learn  to divide large numbers from Certified Online Pre-Algebra Tutor

Division is breaking a number up into an equal number of parts. Division is repeated subtraction.

The terms used in division are dividend, divisor, quotient and remainder.

Each of the terms used in division are explained below:

The number which is divided is called the dividend.
The number which divides is called the divisor.
The answer which is the result of the division is called the quotient.
If there is any number left over, it is called the remainder. The remainder cannot be evenly divided by the divisor.

 

 

 

 

The answer of a division operation can be verified in the following manner:

Quotient × Divisor + Remainder = Dividend

Let’s understand with an example

 

 

 

Look at the first two digits. The first two digits are greater than 14. Start with the first 2 digits. Divide the hundreds.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Bring down the ones. Divide the ones.

 

 

 

 

 

 

 

 

 

 

 

 

Quotient × Divisor + Remainder = Dividend
256 × 14 +0 = 3,584

Check Point

a) 8,037 ÷ 19

b) 2,1276÷ 36

c) 10,164÷44

d) There are 1,649 DVDs in a movie store. Each rack holds 17 DVDs. How many racks does the store need to use to hold all the DVDs?

e) A hotel has $11,856 to buy new pillows. If the cost of each pillow is $26, how many pillows will the hotel be able to buy?

Answer Key
a) 423

b) 591

c) 231

d) 97 racks

e) $456

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