85613 ÷ 7 = 12230 R3
Alright, let's work through the division of 85613 by 7 step by step.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 7

Step 2:
7 goes into 15 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 14 from 15 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Step 3:
7 goes into 16 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 122
Subtract 14 from 16 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 7

Step 4:
7 goes into 21 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 1223
Subtract 21 from 21 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 7

Step 5:
7 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 12230
Subtract 0 from 3 to get 3.

The final result is 12230 with a remainder of 3.