To divide 8456 by 7, we can use long division:
___________
7 | 8456
Starting with the first digit of 8456, we see that 7 doesn't go into 4, so we consider the first two digits, which is 84. Now, 7 goes into 84 exactly 12 times (because 7 x 12 = 84). We write 12 on top of the division bar above the 4 in 84.
12
___________
7 | 8456
- 84
When we subtract 84 from 84, we get 0. Now we bring down the next digit which is 5.
12
___________
7 | 8456
- 84
056 (bringing down the 5)
Next, we look at how many times 7 goes into 56. It goes exactly 8 times (because 7 x 8 = 56). We write the 8 next to the 12 above the division bar.
1208
___________
7 | 8456
- 84
056
- 56
Subtract 56 from 56 and we get 0. Finally, we bring down the last digit, which is 6.
1208
___________
7 | 8456
- 84
056
- 56
06
Now we see how many times 7 goes into 6. However, 7 does not go into 6 because 6 is smaller than 7. This means we have a remainder. The final answer is:
1208
___________
7 | 8456
- 84
056
- 56
06 (remainder)
Therefore, 8456 ÷ 7 is 1208 with a remainder of 6.
