48408 ÷ 7 = 6915 R3
Alright, let's work through the division of 48408 by 7 step by step.

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 (8) of the dividend behind the 4 and repeat the process: 48 / 7

Step 2:
7 goes into 48 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 48 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: 69
Subtract 63 from 64 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 7

Step 4:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 691
Subtract 7 from 10 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 7

Step 5:
7 goes into 38 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 6915
Subtract 35 from 38 to get 3.

The final result is 6915 with a remainder of 3.