Long Division by Michael Hedderig

6 5,390

Dividend 6 5,390

Divisor 6 5,390

The Answer is called ??? 6 5,390

Quotient ??? 6 5,390

The answer (quotient) is written above the dividing line. ??? 6 5,390

6 5,390 ??? We will check our work under the dividend.

Where do I start?

6 5,390 This is too large of a number to use all at once.

Remember Place Value

6 5,390 Begin with the largest place value.

And follow these four steps

There is a special way to remember. Dirty Monkeys Smell Badly

There is a special way to remember. Divide up Multiply down Subtract Bring down

Okay, let’s get started!

6 5,390 Check if the divisor will enter the first digit in the dividend.

Will 6 fit inside 5? 6 5,390 No!!! 6 x 0 = 0 6 x 1 = 6 too big

6 5,390 Will 6 fit inside 53? Because 6 is too big to enter 5… We have to check the first two digits. Will 6 fit inside 53?

6 5,390 Yes! How many times? 6 X 6 = 36 6 x 7 = 42 6 x 8 = 48

8 times! With some left over… 6 X 6 = 36 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54 8 times! With some left over…

8 6 5,390 Put the 8 over the 3 That’s the answer 6 x 8 = 48 Remember, the quotient goes here. That’s the answer 8 6 5,390 Put the 8 over the 3 6 x 8 = 48

8 6 5,390 Nothing goes over the 5 because 6 could not enter 5—It’s too small.

Remember the order Divide up Multiply down Subtract Bring Down

Remember the order Divide up Multiply down

Underneath is where we show our work. Multiply 8 X 6 = 48 8 6 5,390 4 8 Underneath is where we show our work.

Subtract just these numbers. 8 6 5,390 4 8

Remember the order Divide up Multiply down Subtract

We need to regroup in order subtract 8 6 5,390 4 8

Regroup… 8 6 5,390 4 1 4 8 5

What’s next?

Remember the order Divide up Multiply down Subtract Bring Down

8 6 5,390 4 9 1 4 8 5

8 6 5,390 4 1 4 8 5 9

You did the first place value Congratulations!!! You did the first place value

2 How many place values left to go? 8 6 5,390 4 1 4 8 5 9

Remember the order Divide up Multiply down Subtract Bring Down

But work from where you bring down. Start over… But work from where you bring down.

Like this… 8 6 5,390 4 1 4 8 5 9

How many times will 6 enter 59? 8 6 5,390 4 1 4 8 5 9

6 x 7 = 42 6 x 8 = 48 6 x 9 = 54 6 x 10 = 60 8 6 5,390 4 1 4 8 5 9

8 9 6 5,390 4 8 5 9 4 The division answer goes up. 1 6 x 7 = 42

89 6 5,390 4 8 59

Remember the order Divide up Multiply down

8 9 6 5,390 4 8 59 54 6 x 9 = 54

Remember the order Divide up Multiply down Subtract

8 9 6 5,390 4 8 59 54 5

Remember the order Divide up Multiply down Subtract Bring Down

8 9 6 5,390 4 8 59 54 5

You did the next place value!!!

8 9 Since one place value is left, we need one more digit for the answer. 6 5,390 4 8 59 54 50

But work from where you bring down. Start over… But work from where you bring down.

Remember the order Divide up

8 9 6 5,390 4 8 How many times will 6 enter 50? 59 54 50

8 9 6 5,390 4 8 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54 6 x 10 = 60 59 54 50

8 9 8 6 5,390 4 8 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54 6 x 10 = 60 59 54 50

Remember the order Divide up Multiply down

8 9 8 6 5,390 4 8 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54 6 x 10 = 60 59 54 50 48

Remember the order Divide up Multiply down Subtract

8 9 8 6 5,390 4 8 59 54 50 48 2

8 9 8 6 5,390 4 8 59 54 50 48 2 Nothing left to bring down! Where does the two go? 50 48 2

8 9 8 R 2 6 5,390 4 8 59 The 2 is expressed as a remainder 54 50 48 2

Congratulations!!! You’re done!

This is your final answer. 8 9 8 R 2 6 5,390 4 8 59 This is your final answer. 54 50 48 2