42557 ÷ 7 = 6079 R4
Let's divide 42557 by 7.

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 (5) of the dividend behind the 0 and repeat the process: 5 / 7

Step 3:
7 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 60
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 7

Step 4:
7 goes into 55 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 607
Subtract 49 from 55 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 7

Step 5:
7 goes into 67 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 6079
Subtract 63 from 67 to get 4.

The final result is 6079 with a remainder of 4.