63906 ÷ 7 = 9129 R3
Alright, let's work through the division of 63906 by 7 step by step.

Step 1:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 7

Step 2:
7 goes into 63 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 63 from 63 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 7

Step 3:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 91
Subtract 7 from 9 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 7

Step 4:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 912
Subtract 14 from 20 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Step 5:
7 goes into 66 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 9129
Subtract 63 from 66 to get 3.

The final result is 9129 with a remainder of 3.