85603 ÷ 7 
We're looking to find how many times 7 goes into 85603.

Step 1:
7 goes into 8 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we take 7 away from 8, we end up with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 7

Moving on to step 2:
When dividing 15 by 7, we get 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 14 from 15 and we're left with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 7

Going ahead to step 3:
If we divide 16 by 7, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 122.0
Deduct 14 from 16 and we're left with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 7

Going ahead to step 4:
If we divide 20 by 7, we get 2 and a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 1222.0
The remainder is 6 after subtracting 14 from 20.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 7

Let's proceed to step 5:
7 can be fit into 63 9 times, resulting in a remainder of 0.
The next digit of our result is 9. 
Result so far: 12229.0
Subtract 63 from 63 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 6:
When dividing 0 by 7, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 12229.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
7 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 12229.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 12229.0, and the remainder is 0.0.