645319 divided by 51 
Our goal is to divide 645319 by 51.

On to step 1:
If we divide 6 by 51, we get 0 and 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.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 51

On to step 2:
51 goes into 64 1 times with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 51 from 64, we get 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 51

Advancing to step 3:
The number 51 fits into 135 2 times, leaving a remainder of 33.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtract 102 from 135 to get 33.
Append the next digit (3) from the dividend to 33 and continue with: 333 / 51

Moving on to step 4:
If we divide 333 by 51, we get 6 and a remainder of 27.
Write down 6 as next digit of the result. 
Result so far: 126.0
The remainder is 27 after subtracting 306 from 333.
Take the next digit (1) from the dividend and append it to 27, then repeat: 271 / 51

Moving on to step 5:
The number 51 fits into 271 5 times, leaving a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 1265.0
The remainder is 16 after subtracting 255 from 271.
Fetch the next digit (9) from the dividend, attach it to 16 and continue: 169 / 51

Advancing to step 6:
The number 51 fits into 169 3 times, leaving a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 12653.0
If we subtract 153 from 169, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
160 divided by 51 is 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 12653.3
If we subtract 153 from 160, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
If we divide 70 by 51, we get 1 and a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 12653.31
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.

On to step 9:
190 divided by 51 is 3 with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 12653.313
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.

Let's proceed to step 10:
51 goes into 370 7 times with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 12653.3137
Subtract 357 from 370 to 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.

On to step 11:
51 can be fit into 130 2 times, resulting in a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 12653.31372
If we subtract 102 from 130, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 12:
If we divide 280 by 51, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 12653.313725
Subtracting 255 from 280 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 13:
If we divide 250 by 51, we get 4 and a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 12653.3137254
Subtracting 204 from 250 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 14:
When dividing 460 by 51, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 12653.31372549
The remainder is 1 after subtracting 459 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 12653.31372549 and a remainder of 1e-09.