636913 ÷ 37 
Let's see how many times 37 fits into 636913.

Going ahead to step 1:
37 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 37

Advancing to step 2:
63 divided by 37 is 1 with a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 37 from 63 leaves us with 26.
Bring next digit (6) of the dividend behind the 26 and repeat the process: 266 / 37

On to step 3:
37 goes into 266 7 times with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we take 259 away from 266, we end up with 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 37

Moving on to step 4:
The number 37 fits into 79 2 times, leaving a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 172.0
If we subtract 74 from 79, we get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 37

On to step 5:
51 divided by 37 is 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1721.0
The remainder is 14 after subtracting 37 from 51.
Append the next digit (3) from the dividend to 14 and continue with: 143 / 37

Moving on to step 6:
37 goes into 143 3 times with a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 17213.0
Subtract 111 from 143 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 7:
When dividing 320 by 37, we get 8 with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 17213.8
The remainder is 24 after subtracting 296 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
240 divided by 37 is 6 with a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 17213.86
The remainder is 18 after subtracting 222 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
37 can be fit into 180 4 times, resulting in a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 17213.864
If we take 148 away from 180, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
When dividing 320 by 37, we get 8 with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 17213.8648
If we subtract 296 from 320, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 11:
37 goes into 240 6 times with a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 17213.86486
Subtracting 222 from 240 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 12:
The number 37 fits into 180 4 times, leaving a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 17213.864864
Subtract 148 from 180 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 13:
37 goes into 320 8 times with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 17213.8648648
Deduct 296 from 320 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
If we divide 240 by 37, we get 6 and a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 17213.86486486
Deduct 222 from 240 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 17213.86486486 with a balance of 1.8e-08.