42261 ÷ 2 = 21130 R1
No problem, we've got 42261 and 2 for the division.

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

Step 2:
2 goes into 2 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 2 from 2 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 2

Step 3:
2 goes into 2 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 211
Subtract 2 from 2 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 2

Step 4:
2 goes into 6 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 2113
Subtract 6 from 6 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 2

Step 5:
2 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 21130
Subtract 0 from 1 to get 1.

The final result is 21130 with a remainder of 1.