We look at the division of 495 by 37 
We want to divide 495 by 37.

Advancing to step 1:
If we divide 4 by 37, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 37

Step 2:
When dividing 49 by 37, we get 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 37 from 49, we get 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 37

Advancing to step 3:
37 goes into 125 3 times with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 111 away from 125, 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.

Advancing to step 4:
The number 37 fits into 140 3 times, leaving a remainder of 29.
Put 3 as the next digit of the answer. 
Result so far: 13.3
Subtracting 111 from 140 leaves us 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.

Going ahead to step 5:
37 can be fit into 290 7 times, resulting in a remainder of 31.
The next digit of our result is 7. 
Result so far: 13.37
If we take 259 away from 290, we end up 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.

Going ahead to step 6:
The number 37 fits into 310 8 times, leaving a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 13.378
Subtract 296 from 310 to get 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 7:
If we divide 140 by 37, we get 3 and a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 13.3783
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.

Step 8:
37 goes into 290 7 times with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 13.37837
The remainder is 31 after subtracting 259 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 9:
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: 13.378378
The remainder is 14 after subtracting 296 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
140 divided by 37 is 3 with a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 13.3783783
Subtracting 111 from 140 leaves us 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.

Going ahead to step 11:
When dividing 290 by 37, we get 7 with a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 13.37837837
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.

The quotient of the division is 13.37837837, and the remainder is 3.1e-08.