We look at the division of 629301 by 37 
Let's see how many times 37 fits into 629301.

Step 1:
If we divide 6 by 37, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 37

On to step 2:
When dividing 62 by 37, we get 1 with a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 37 from 62 leaves us with 25.
Include the next digit (9) from the dividend after 25, then repeat: 259 / 37

Going ahead to step 3:
If we divide 259 by 37, we get 7 and a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
The remainder is 0 after subtracting 259 from 259.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 37

Let's proceed to step 4:
3 divided by 37 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 170.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 37

Let's proceed to step 5:
37 can be fit into 30 0 times, resulting in a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 1700.0
If we take 0 away from 30, we end up with 30.
Bring next digit (1) of the dividend behind the 30 and repeat the process: 301 / 37

Step 6:
37 goes into 301 8 times with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 17008.0
The remainder is 5 after subtracting 296 from 301.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
50 divided by 37 is 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 17008.1
If we take 37 away from 50, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 8:
130 divided by 37 is 3 with a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 17008.13
If we subtract 111 from 130, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 9:
190 divided by 37 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 17008.135
Subtracting 185 from 190 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
37 can be fit into 50 1 times, resulting in a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 17008.1351
If we subtract 37 from 50, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 11:
The number 37 fits into 130 3 times, leaving a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 17008.13513
If we subtract 111 from 130, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 12:
When dividing 190 by 37, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 17008.135135
Deduct 185 from 190 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
The number 37 fits into 50 1 times, leaving a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 17008.1351351
If we take 37 away from 50, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 14:
When dividing 130 by 37, we get 3 with a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 17008.13513513
Deduct 111 from 130 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

After the division, we end up with 17008.13513513 and a remainder of 1.9e-08.