112603 ÷ 74 
Our goal is to divide 112603 by 74.

Let's proceed to step 1:
1 divided by 74 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 74

On to step 2:
11 divided by 74 is 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 74

Step 3:
When dividing 112 by 74, we get 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 38 after subtracting 74 from 112.
Take the next digit (6) from the dividend and append it to 38, then repeat: 386 / 74

Step 4:
74 can be fit into 386 5 times, resulting in a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we subtract 370 from 386, we get 16.
Fetch the next digit (0) from the dividend, attach it to 16 and continue: 160 / 74

Going ahead to step 5:
74 can be fit into 160 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 152.0
Deduct 148 from 160 and we're left with 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 74

Going ahead to step 6:
If we divide 123 by 74, we get 1 and a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 1521.0
Deduct 74 from 123 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 7:
74 goes into 490 6 times with a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 1521.6
Subtracting 444 from 490 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 8:
74 can be fit into 460 6 times, resulting in a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 1521.66
Subtracting 444 from 460 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 1521.66 with a remaining 0.016.