We're dividing 635373 by 30 
We want to figure out the number of times 635373 can be divided by 30.

On to step 1:
The number 30 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 30

Let's proceed to step 2:
63 divided by 30 is 2 with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 3 after subtracting 60 from 63.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 30

Advancing to step 3:
The number 30 fits into 35 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 21.0
The remainder is 5 after subtracting 30 from 35.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 30

Advancing to step 4:
30 goes into 53 1 times with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 211.0
Deduct 30 from 53 and we're left with 23.
Grab the next digit (7) from the dividend, add it to 23, then carry on: 237 / 30

Going ahead to step 5:
The number 30 fits into 237 7 times, leaving a remainder of 27.
Record the quotient 7 as the next digit in the result. 
Result so far: 2117.0
Subtract 210 from 237 to get 27.
Append the next digit (3) from the dividend to 27 and continue with: 273 / 30

On to step 6:
The number 30 fits into 273 9 times, leaving a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 21179.0
Subtracting 270 from 273 leaves us 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.

Advancing to step 7:
30 divided by 30 is 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 21179.1
Subtracting 30 from 30 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
If we divide 0 by 30, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 21179.1
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
30 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 21179.1
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 21179.1 with a remaining 0.0.