We're dividing 84903 by 74 
We want to divide 84903 by 74.

Step 1:
The number 74 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 74

Going ahead to step 2:
84 divided by 74 is 1 with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 74 from 84, we get 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 74

Moving on to step 3:
When dividing 109 by 74, we get 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 74 from 109 leaves us with 35.
Append the next digit (0) from the dividend to 35 and continue with: 350 / 74

On to step 4:
74 goes into 350 4 times with a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 114.0
Subtracting 296 from 350 leaves us with 54.
Grab the next digit (3) from the dividend, add it to 54, then carry on: 543 / 74

Going ahead to step 5:
If we divide 543 by 74, we get 7 and a remainder of 25.
Use 7 as the next digit of our solution. 
Result so far: 1147.0
Subtract 518 from 543 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 6:
74 goes into 250 3 times with a remainder of 28.
Put 3 as the next digit of the answer. 
Result so far: 1147.3
Deduct 222 from 250 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
74 can be fit into 280 3 times, resulting in a remainder of 58.
Put 3 as the next digit of the answer. 
Result so far: 1147.33
The remainder is 58 after subtracting 222 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

After the division, we end up with 1147.33 and a remainder of 0.058.