7886 ÷ 17 
We want to divide 7886 by 17.

Step 1:
17 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 17

Let's proceed to step 2:
78 divided by 17 is 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 10 after subtracting 68 from 78.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 17

Let's proceed to step 3:
17 goes into 108 6 times with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 46.0
Deduct 102 from 108 and we're left with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 17

Going ahead to step 4:
66 divided by 17 is 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 463.0
The remainder is 15 after subtracting 51 from 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 5:
17 goes into 150 8 times with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 463.8
Subtract 136 from 150 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 6:
17 goes into 140 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 463.88
Deduct 136 from 140 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 463.88 with a remainder of 0.004.