86629 ÷ 7 = 12375 R4
We're going to perform division on 86629 with 7 as the divisor.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Step 2:
7 goes into 16 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 14 from 16 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 3:
7 goes into 26 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 123
Subtract 21 from 26 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 7

Step 4:
7 goes into 52 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 1237
Subtract 49 from 52 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 7

Step 5:
7 goes into 39 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 12375
Subtract 35 from 39 to get 4.

The final result is 12375 with a remainder of 4.