42913 ÷ 4 = 10728 R1
Alright, let's work through the division of 42913 by 4 step by step.

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 (9) of the dividend behind the 2 and repeat the process: 29 / 4

Step 3:
4 goes into 29 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 107
Subtract 28 from 29 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 4

Step 4:
4 goes into 11 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 1072
Subtract 8 from 11 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 4

Step 5:
4 goes into 33 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 10728
Subtract 32 from 33 to get 1.

The final result is 10728 with a remainder of 1.