43688 ÷ 7 = 6241 R1
No problem, we've got 43688 and 7 for the division.

Step 1:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 7

Step 2:
7 goes into 43 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 43 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Step 3:
7 goes into 16 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 62
Subtract 14 from 16 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 7

Step 4:
7 goes into 28 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 624
Subtract 28 from 28 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 7

Step 5:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 6241
Subtract 7 from 8 to get 1.

The final result is 6241 with a remainder of 1.