We're dividing 635603 by 73 
We want to figure out the number of times 635603 can be divided by 73.

Let's proceed to step 1:
When dividing 6 by 73, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 73

Advancing to step 2:
73 goes into 63 0 times with a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Include the next digit (5) from the dividend after 63, then repeat: 635 / 73

Step 3:
635 divided by 73 is 8 with a remainder of 51.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 584 from 635 to get 51.
Take the next digit (6) from the dividend and append it to 51, then repeat: 516 / 73

Let's proceed to step 4:
The number 73 fits into 516 7 times, leaving a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 87.0
If we subtract 511 from 516, we get 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 73

On to step 5:
The number 73 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 870.0
If we take 0 away from 50, we end up with 50.
Grab the next digit (3) from the dividend, add it to 50, then carry on: 503 / 73

Going ahead to step 6:
The number 73 fits into 503 6 times, leaving a remainder of 65.
Write down 6 as next digit of the result. 
Result so far: 8706.0
Subtracting 438 from 503 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 7:
73 can be fit into 650 8 times, resulting in a remainder of 66.
The number 8 becomes the next digit in our result. 
Result so far: 8706.8
Subtract 584 from 650 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 8:
If we divide 660 by 73, we get 9 and a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 8706.89
If we take 657 away from 660, we end up 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.

On to step 9:
When dividing 30 by 73, we get 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 8706.89
If we subtract 0 from 30, 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.

Let's proceed to step 10:
300 divided by 73 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 8706.8904
Deduct 292 from 300 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
80 divided by 73 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 8706.89041
The remainder is 7 after subtracting 73 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 12:
The number 73 fits into 70 0 times, leaving a remainder of 70.
The next digit of our result is 0. 
Result so far: 8706.89041
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 13:
700 divided by 73 is 9 with a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 8706.8904109
If we take 657 away from 700, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 14:
430 divided by 73 is 5 with a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 8706.89041095
Deduct 365 from 430 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

After the division, we end up with 8706.89041095 and a remainder of 6.5e-08.