69415 ÷ 7 = 9916 R3
Alright, let's work through the division of 69415 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 (9) of the dividend behind the 6 and repeat the process: 69 / 7

Step 2:
7 goes into 69 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 63 from 69 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 7

Step 3:
7 goes into 64 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 99
Subtract 63 from 64 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 7

Step 4:
7 goes into 11 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 991
Subtract 7 from 11 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 7

Step 5:
7 goes into 45 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 9916
Subtract 42 from 45 to get 3.

The final result is 9916 with a remainder of 3.