We're dividing 637531 by 51 
We're looking to find how many times 51 goes into 637531.

Moving on to step 1:
6 divided by 51 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 51

Step 2:
51 goes into 63 1 times with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 51 from 63 to get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 51

Advancing to step 3:
If we divide 127 by 51, we get 2 and a remainder of 25.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 25 after subtracting 102 from 127.
Grab the next digit (5) from the dividend, add it to 25, then carry on: 255 / 51

Going ahead to step 4:
The number 51 fits into 255 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 125.0
If we subtract 255 from 255, we get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 51

Step 5:
3 divided by 51 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 1250.0
Subtract 0 from 3 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 51

Step 6:
If we divide 31 by 51, we get 0 and a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 12500.0
The remainder is 31 after subtracting 0 from 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 7:
The number 51 fits into 310 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 12500.6
Deduct 306 from 310 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
If we divide 40 by 51, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 12500.6
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
When dividing 400 by 51, we get 7 with a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 12500.607
Subtract 357 from 400 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 10:
430 divided by 51 is 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 12500.6078
Deduct 408 from 430 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
51 can be fit into 220 4 times, resulting in a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 12500.60784
If we take 204 away from 220, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
51 can be fit into 160 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 12500.607843
If we take 153 away from 160, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
70 divided by 51 is 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 12500.6078431
Subtract 51 from 70 to 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.

Step 14:
51 can be fit into 190 3 times, resulting in a remainder of 37.
The next digit of our result is 3. 
Result so far: 12500.60784313
The remainder is 37 after subtracting 153 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The quotient of the division is 12500.60784313, and the remainder is 3.7e-08.