We look at the division of 373538 by 663 
We're looking to find how many times 663 goes into 373538.

Moving on to step 1:
The number 663 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 663

Advancing to step 2:
The number 663 fits into 37 0 times, leaving a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Include the next digit (3) from the dividend after 37, then repeat: 373 / 663

Step 3:
The number 663 fits into 373 0 times, leaving a remainder of 373.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 373 after subtracting 0 from 373.
Append the next digit (5) from the dividend to 373 and continue with: 3735 / 663

Let's proceed to step 4:
663 can be fit into 3735 5 times, resulting in a remainder of 420.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 3315 from 3735 to get 420.
Take the next digit (3) from the dividend and append it to 420, then repeat: 4203 / 663

On to step 5:
4203 divided by 663 is 6 with a remainder of 225.
The next digit of our result is 6. 
Result so far: 56.0
The remainder is 225 after subtracting 3978 from 4203.
Append the next digit (8) from the dividend to 225 and continue with: 2258 / 663

Let's proceed to step 6:
663 goes into 2258 3 times with a remainder of 269.
Write down 3 as next digit of the result. 
Result so far: 563.0
The remainder is 269 after subtracting 1989 from 2258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2690, and continue the process.

On to step 7:
2690 divided by 663 is 4 with a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 563.4
Subtracting 2652 from 2690 leaves us 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.

Going ahead to step 8:
380 divided by 663 is 0 with a remainder of 380.
The next digit of our result is 0. 
Result so far: 563.4
If we subtract 0 from 380, we get 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Moving on to step 9:
663 can be fit into 3800 5 times, resulting in a remainder of 485.
The next digit of our result is 5. 
Result so far: 563.405
Deduct 3315 from 3800 and we're left with 485.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4850, and continue the process.

Let's proceed to step 10:
4850 divided by 663 is 7 with a remainder of 209.
The next digit of our result is 7. 
Result so far: 563.4057
Subtracting 4641 from 4850 leaves us with 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

Step 11:
When dividing 2090 by 663, we get 3 with a remainder of 101.
Record the quotient 3 as the next digit in the result. 
Result so far: 563.40573
If we subtract 1989 from 2090, we get 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

Going ahead to step 12:
When dividing 1010 by 663, we get 1 with a remainder of 347.
Write down 1 as next digit of the result. 
Result so far: 563.405731
The remainder is 347 after subtracting 663 from 1010.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3470, and continue the process.

Step 13:
When dividing 3470 by 663, we get 5 with a remainder of 155.
Put 5 as the next digit of the answer. 
Result so far: 563.4057315
Deduct 3315 from 3470 and we're left with 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Going ahead to step 14:
663 can be fit into 1550 2 times, resulting in a remainder of 224.
Record the quotient 2 as the next digit in the result. 
Result so far: 563.40573152
Subtracting 1326 from 1550 leaves us with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

The final result is 563.40573152 with a remainder of 2.24e-07.