637428 ÷ 51 
Let's see how many times 51 fits into 637428.

Going ahead to step 1:
When dividing 6 by 51, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 51

On to step 2:
63 divided by 51 is 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 51 away from 63, we end up with 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 51

On to step 3:
If we divide 127 by 51, we get 2 and a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we subtract 102 from 127, we get 25.
Fetch the next digit (4) from the dividend, attach it to 25 and continue: 254 / 51

Let's proceed to step 4:
51 goes into 254 4 times with a remainder of 50.
Write down 4 as next digit of the result. 
Result so far: 124.0
If we take 204 away from 254, we end up with 50.
Append the next digit (2) from the dividend to 50 and continue with: 502 / 51

Step 5:
51 goes into 502 9 times with a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 1249.0
Deduct 459 from 502 and we're left with 43.
Bring next digit (8) of the dividend behind the 43 and repeat the process: 438 / 51

Let's proceed to step 6:
If we divide 438 by 51, we get 8 and a remainder of 30.
The next digit of our result is 8. 
Result so far: 12498.0
Subtract 408 from 438 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
300 divided by 51 is 5 with a remainder of 45.
The next digit of our result is 5. 
Result so far: 12498.5
Subtracting 255 from 300 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 8:
51 can be fit into 450 8 times, resulting in a remainder of 42.
The next digit of our result is 8. 
Result so far: 12498.58
If we subtract 408 from 450, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 9:
The number 51 fits into 420 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 12498.588
The remainder is 12 after subtracting 408 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 12498.588, and the remainder is 0.0012.