We're dividing 603381 by 63 
We want to figure out the number of times 603381 can be divided by 63.

Advancing to step 1:
When dividing 6 by 63, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 63

Let's proceed to step 2:
The number 63 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 60 to get 60.
Fetch the next digit (3) from the dividend, attach it to 60 and continue: 603 / 63

On to step 3:
603 divided by 63 is 9 with a remainder of 36.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 36 after subtracting 567 from 603.
Take the next digit (3) from the dividend and append it to 36, then repeat: 363 / 63

Step 4:
63 can be fit into 363 5 times, resulting in a remainder of 48.
Use 5 as the next digit of our solution. 
Result so far: 95.0
If we take 315 away from 363, we end up with 48.
Grab the next digit (8) from the dividend, add it to 48, then carry on: 488 / 63

Moving on to step 5:
If we divide 488 by 63, we get 7 and a remainder of 47.
Put 7 as the next digit of the answer. 
Result so far: 957.0
The remainder is 47 after subtracting 441 from 488.
Bring next digit (1) of the dividend behind the 47 and repeat the process: 471 / 63

Going ahead to step 6:
63 can be fit into 471 7 times, resulting in a remainder of 30.
Put 7 as the next digit of the answer. 
Result so far: 9577.0
If we subtract 441 from 471, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
The number 63 fits into 300 4 times, leaving a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 9577.4
If we subtract 252 from 300, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 8:
When dividing 480 by 63, we get 7 with a remainder of 39.
The number 7 becomes the next digit in our result. 
Result so far: 9577.47
Subtract 441 from 480 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 9:
63 goes into 390 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 9577.476
If we take 378 away from 390, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
If we divide 120 by 63, we get 1 and a remainder of 57.
Use 1 as the next digit of our solution. 
Result so far: 9577.4761
Deduct 63 from 120 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 11:
63 can be fit into 570 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 9577.47619
Deduct 567 from 570 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
63 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 9577.47619
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 13:
300 divided by 63 is 4 with a remainder of 48.
Put 4 as the next digit of the answer. 
Result so far: 9577.4761904
Subtracting 252 from 300 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 14:
When dividing 480 by 63, we get 7 with a remainder of 39.
Record the quotient 7 as the next digit in the result. 
Result so far: 9577.47619047
Subtract 441 from 480 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final outcome is 9577.47619047, with a leftover of 3.9e-08.