We're dividing 633806 by 37 
We're looking to find how many times 37 goes into 633806.

Step 1:
The number 37 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 37

Moving on to step 2:
37 goes into 63 1 times with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 37 from 63 and we're left with 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 37

Step 3:
The number 37 fits into 263 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtract 259 from 263 to get 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 37

Moving on to step 4:
When dividing 48 by 37, we get 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 171.0
Deduct 37 from 48 and we're left with 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 37

Moving on to step 5:
37 can be fit into 110 2 times, resulting in a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 1712.0
The remainder is 36 after subtracting 74 from 110.
Take the next digit (6) from the dividend and append it to 36, then repeat: 366 / 37

Step 6:
366 divided by 37 is 9 with a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 17129.0
The remainder is 33 after subtracting 333 from 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
37 can be fit into 330 8 times, resulting in a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 17129.8
If we take 296 away from 330, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
The number 37 fits into 340 9 times, leaving a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 17129.89
If we take 333 away from 340, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
37 goes into 70 1 times with a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 17129.891
The remainder is 33 after subtracting 37 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 10:
330 divided by 37 is 8 with a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 17129.8918
If we subtract 296 from 330, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 11:
When dividing 340 by 37, we get 9 with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 17129.89189
If we subtract 333 from 340, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 12:
The number 37 fits into 70 1 times, leaving a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 17129.891891
Subtracting 37 from 70 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 13:
If we divide 330 by 37, we get 8 and a remainder of 34.
The next digit of our result is 8. 
Result so far: 17129.8918918
If we take 296 away from 330, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 14:
If we divide 340 by 37, we get 9 and a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 17129.89189189
Subtracting 333 from 340 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 17129.89189189 with a balance of 7e-09.