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Look at the number 1000 and the number 11. Will 11 go into a number made of just the first digit of 1000 (which is 1). The answer is no, so you try to see if 11 will go into a number made of the first two digits of 1000 (which is 10). The answer is no, so try to see if 11 will go into a number made of the first three digits of 1000 (which is 100). The answer is yes. It goes 9 times. So write 99 below the first three digits of 1000. Subtract 99 from the 100 just above it. Remember the quotient is so far 9. Subtract 99 from the 100 just above it (the first three digits of 1000). You get a remainder of 1. Now bring down the last zero of 1000 and tack it to the right of the 1. You see a 10. Can 11 go into 10. No. So add a zero to the right of the quotient you already have to make it 90. For every digit you bring down from the original number you have to account for it in the quotient, whether it is zero or not. There are no more digits in 1000 so the last 10 you had is the remainder.

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