635580 ÷ 37 
Let's see how many times 37 fits into 635580.

Going ahead to step 1:
6 divided by 37 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 37

On to step 2:
37 goes into 63 1 times with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 37 from 63 leaves us with 26.
Fetch the next digit (5) from the dividend, attach it to 26 and continue: 265 / 37

Let's proceed to step 3:
37 can be fit into 265 7 times, resulting in a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtracting 259 from 265 leaves us with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 37

Step 4:
65 divided by 37 is 1 with a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 171.0
Subtracting 37 from 65 leaves us with 28.
Append the next digit (8) from the dividend to 28 and continue with: 288 / 37

On to step 5:
288 divided by 37 is 7 with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 1717.0
If we subtract 259 from 288, we get 29.
Append the next digit (0) from the dividend to 29 and continue with: 290 / 37

Advancing to step 6:
When dividing 290 by 37, we get 7 with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 17177.0
Deduct 259 from 290 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
When dividing 310 by 37, we get 8 with a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 17177.8
If we take 296 away from 310, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
37 can be fit into 140 3 times, resulting in a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 17177.83
Deduct 111 from 140 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 9:
When dividing 290 by 37, we get 7 with a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 17177.837
If we subtract 259 from 290, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 10:
The number 37 fits into 310 8 times, leaving a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 17177.8378
Deduct 296 from 310 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
37 can be fit into 140 3 times, resulting in a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 17177.83783
If we take 111 away from 140, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 12:
When dividing 290 by 37, we get 7 with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 17177.837837
Deduct 259 from 290 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 13:
37 can be fit into 310 8 times, resulting in a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 17177.8378378
Subtracting 296 from 310 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 14:
If we divide 140 by 37, we get 3 and a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 17177.83783783
If we subtract 111 from 140, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final outcome is 17177.83783783, with a leftover of 2.9e-08.