We're dividing 637903 by 43 
Our goal is to divide 637903 by 43.

Step 1:
43 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 43

Going ahead to step 2:
If we divide 63 by 43, we get 1 and a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 43 from 63, we get 20.
Take the next digit (7) from the dividend and append it to 20, then repeat: 207 / 43

Step 3:
The number 43 fits into 207 4 times, leaving a remainder of 35.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we subtract 172 from 207, we get 35.
Include the next digit (9) from the dividend after 35, then repeat: 359 / 43

On to step 4:
The number 43 fits into 359 8 times, leaving a remainder of 15.
The next digit of our result is 8. 
Result so far: 148.0
If we subtract 344 from 359, we get 15.
Include the next digit (0) from the dividend after 15, then repeat: 150 / 43

Step 5:
43 can be fit into 150 3 times, resulting in a remainder of 21.
The next digit of our result is 3. 
Result so far: 1483.0
If we subtract 129 from 150, we get 21.
Take the next digit (3) from the dividend and append it to 21, then repeat: 213 / 43

Going ahead to step 6:
The number 43 fits into 213 4 times, leaving a remainder of 41.
The next digit of our result is 4. 
Result so far: 14834.0
Subtract 172 from 213 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 7:
When dividing 410 by 43, we get 9 with a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 14834.9
If we subtract 387 from 410, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
When dividing 230 by 43, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 14834.95
If we take 215 away from 230, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
43 can be fit into 150 3 times, resulting in a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 14834.953
If we subtract 129 from 150, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 10:
43 goes into 210 4 times with a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 14834.9534
Deduct 172 from 210 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 11:
The number 43 fits into 380 8 times, leaving a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 14834.95348
Subtracting 344 from 380 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 12:
360 divided by 43 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 14834.953488
If we take 344 away from 360, we end up 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.

The final result is 14834.953488 with a remainder of 1.6e-06.