Let's divide 684668 by 51
We want to figure out the number of times 684668 can be divided by 51.

Step 1:
The number 51 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 51

Let's proceed to step 2:
68 divided by 51 is 1 with a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
If we take 51 away from 68, we end up with 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 51

On to step 3:
174 divided by 51 is 3 with a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtracting 153 from 174 leaves us with 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 51

Let's proceed to step 4:
When dividing 216 by 51, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 134.0
If we take 204 away from 216, we end up with 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 51

Step 5:
If we divide 126 by 51, we get 2 and a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 1342.0
Deduct 102 from 126 and we're left with 24.
Fetch the next digit (8) from the dividend, attach it to 24 and continue: 248 / 51

Advancing to step 6:
51 can be fit into 248 4 times, resulting in a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 13424.0
If we subtract 204 from 248, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 7:
51 can be fit into 440 8 times, resulting in a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 13424.8
Subtracting 408 from 440 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 8:
When dividing 320 by 51, we get 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 13424.86
The remainder is 14 after subtracting 306 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
140 divided by 51 is 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 13424.862
Subtract 102 from 140 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 10:
51 can be fit into 380 7 times, resulting in a remainder of 23.
The next digit of our result is 7. 
Result so far: 13424.8627
If we subtract 357 from 380, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 11:
The number 51 fits into 230 4 times, leaving a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 13424.86274
The remainder is 26 after subtracting 204 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 12:
When dividing 260 by 51, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 13424.862745
Deduct 255 from 260 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.

Let's proceed to step 13:
The number 51 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 13424.862745
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 14:
If we divide 500 by 51, we get 9 and a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 13424.86274509
If we subtract 459 from 500, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

After the division, we end up with 13424.86274509 and a remainder of 4.1e-08.