42479 ÷ 7 = 6068 R3
Alright, let's work through the division of 42479 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 (2) of the dividend behind the 4 and repeat the process: 42 / 7

Step 2:
7 goes into 42 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 42 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 7

Step 3:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 60
Subtract 0 from 4 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 7

Step 4:
7 goes into 47 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 606
Subtract 42 from 47 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 7

Step 5:
7 goes into 59 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 6068
Subtract 56 from 59 to get 3.

The final result is 6068 with a remainder of 3.