42290 ÷ 4 = 10572 R2
We're going to perform division on 42290 with 4 as the divisor.

Step 1:
4 goes into 4 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 4 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 4

Step 2:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 2 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 4

Step 3:
4 goes into 22 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 105
Subtract 20 from 22 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 4

Step 4:
4 goes into 29 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 1057
Subtract 28 from 29 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 4

Step 5:
4 goes into 10 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 10572
Subtract 8 from 10 to get 2.

The final result is 10572 with a remainder of 2.