6113 ÷ 4 = 1528 R1
Alright, let's work through the division of 6113 by 4 step by step.

Step 1:
4 goes into 6 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 6 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 4

Step 2:
4 goes into 21 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 20 from 21 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 4

Step 3:
4 goes into 11 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 152
Subtract 8 from 11 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 4

Step 4:
4 goes into 33 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 1528
Subtract 32 from 33 to get 1.

The final result is 1528 with a remainder of 1.