Long Division by 2 ______ 2)34571 __ because 2 < 3, we do 2)3 first 2 goes into 3 once put the number of times 2 goes into 3 above the 3 1 ______ 2)34571 now we find the remainder first we multiply 2 by what we just put on top (1), and put it under the 3 1 ______ 2)34571 2 to find the remainder, we subtract 2 from 3 1 ______ 2)34571 2 _____ 1 so we see that 3/2=1R1 now we proceed bring down the next digit - the 4 1 ______ 2)34571 2 _____ 14 how many times does 2 go into 14? 7 times. So we put 7 above the 4. 17 ______ 2)34571 2 _____ 14 now we find the remainder first we multiply 2 by what we just put on top (7), and put it under the 14 17 ______ 2)34571 2 _____ 14 14 to find the remainder, we subtract 14 from 14 17 ______ 2)34571 2 _____ 14 14 _____ 0 so we see that 14/2=7R0 we also see that 34/2=17R0 now we proceed bring down the next digit - the 5 17 ______ 2)34571 2 _____ 14 14 _____ 05 how many times does 2 go into 5? 2 times. So we put 2 above the 5. 172 ______ 2)34571 2 _____ 14 14 _____ 05 now we find the remainder first we multiply 2 by what we just put on top (2), and put it under the 5 172 ______ 2)34571 2 _____ 14 14 _____ 05 4 to find the remainder, we subtract 4 from 5 172 ______ 2)34571 2 _____ 14 14 _____ 05 4 ___ 1 so we see that 5/2=2R1 we also see that 345/2=172R1 now we proceed bring down the next digit - the 7 172 ______ 2)34571 2 _____ 14 14 _____ 05 4 ___ 17 how many times does 2 go into 17? 8 times. So we put 8 above the 7. 1728 ______ 2)34571 2 _____ 14 14 _____ 05 4 ___ 17 now we find the remainder first we multiply 2 by what we just put on top (8), and put it under the 17 1728 ______ 2)34571 2 _____ 14 14 _____ 05 4 ___ 17 16 to find the remainder, we subtract 16 from 17 1728 ______ 2)34571 2 _____ 14 14 _____ 05 4 ___ 17 16 ___ 1 so we see that 17/2=8R1 we also see that 3457/2=1728R0 now we proceed bring down the next digit - the 1 1728 ______ 2)34571 2 _____ 14 14 _____ 05 4 ___ 17 16 ___ 11 how many times does 2 go into 11? 5 times. So we put 5 above the 1. 17285 ______ 2)34571 2 _____ 14 14 _____ 05 4 ___ 17 16 ___ 11 now we find the remainder first we multiply 2 by what we just put on top (5), and put it under the 1 17285 ______ 2)34571 2 _____ 14 14 _____ 05 4 ___ 17 16 ___ 11 10 to find the remainder, we subtract 10 from 11 17285 ______ 2)34571 2 _____ 14 14 _____ 05 4 ___ 17 16 ___ 11 10 __ 1 so we see that 11/2=5R1 we also see that 34571/2=17285R1 since there are no more digits to bring down, we copy the 1 up to the remainder 17285R1 ______ 2)34571 2 _____ 14 14 _____ 05 4 ___ 17 16 ___ 11 10 __ 1 we are done - the answer is 17285R1