We look at the division of 644776 by 37 
Our goal is to divide 644776 by 37.

Advancing to step 1:
The number 37 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 37

On to step 2:
37 can be fit into 64 1 times, resulting in a remainder of 27.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 37 from 64 to get 27.
Take the next digit (4) from the dividend and append it to 27, then repeat: 274 / 37

Advancing to step 3:
37 goes into 274 7 times with a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
If we take 259 away from 274, we end up with 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 37

Advancing to step 4:
If we divide 157 by 37, we get 4 and a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 174.0
If we subtract 148 from 157, we get 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 37

Let's proceed to step 5:
97 divided by 37 is 2 with a remainder of 23.
The next digit of our result is 2. 
Result so far: 1742.0
If we take 74 away from 97, we end up with 23.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 37

Step 6:
236 divided by 37 is 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 17426.0
Subtract 222 from 236 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.

Step 7:
The number 37 fits into 140 3 times, leaving a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 17426.3
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.

Let's proceed to step 8:
37 goes into 290 7 times with a remainder of 31.
The next digit of our result is 7. 
Result so far: 17426.37
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.

Moving on to step 9:
37 can be fit into 310 8 times, resulting in a remainder of 14.
The next digit of our result is 8. 
Result so far: 17426.378
If we subtract 296 from 310, we 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.

Going ahead to step 10:
140 divided by 37 is 3 with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 17426.3783
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.

Let's proceed to step 11:
If we divide 290 by 37, we get 7 and a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 17426.37837
Subtracting 259 from 290 leaves us 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.

On to step 12:
37 goes into 310 8 times with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 17426.378378
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.

Moving on to step 13:
140 divided by 37 is 3 with a remainder of 29.
Put 3 as the next digit of the answer. 
Result so far: 17426.3783783
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 14:
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: 17426.37837837
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.

After the division, we end up with 17426.37837837 and a remainder of 3.1e-08.