We divide 684629 by 51
We want to figure out the number of times 684629 can be divided by 51.

Advancing to step 1:
51 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 51

Let's proceed to step 2:
If we divide 68 by 51, we get 1 and a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 51 from 68 and we're left with 17.
Grab the next digit (4) from the dividend, add it to 17, then carry on: 174 / 51

Advancing to step 3:
51 can be fit into 174 3 times, resulting in a remainder of 21.
The next digit of our result is 3. 
Result so far: 13.0
Subtract 153 from 174 to get 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 51

Advancing to step 4:
The number 51 fits into 216 4 times, leaving a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 134.0
If we subtract 204 from 216, we get 12.
Include the next digit (2) from the dividend after 12, then repeat: 122 / 51

Let's proceed to step 5:
122 divided by 51 is 2 with a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 1342.0
Subtracting 102 from 122 leaves us with 20.
Grab the next digit (9) from the dividend, add it to 20, then carry on: 209 / 51

On to step 6:
51 can be fit into 209 4 times, resulting in a remainder of 5.
The next digit of our result is 4. 
Result so far: 13424.0
Subtracting 204 from 209 leaves us 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.

On to step 7:
50 divided by 51 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 13424.0
If we take 0 away from 50, we end up 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.

Advancing to step 8:
500 divided by 51 is 9 with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 13424.09
Subtracting 459 from 500 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 9:
51 goes into 410 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 13424.098
Subtracting 408 from 410 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
The number 51 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 13424.098
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
When dividing 200 by 51, we get 3 with a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 13424.09803
The remainder is 47 after subtracting 153 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 12:
When dividing 470 by 51, we get 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 13424.098039
If we subtract 459 from 470, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 13:
51 goes into 110 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 13424.0980392
Subtract 102 from 110 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
When dividing 80 by 51, we get 1 with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 13424.09803921
The remainder is 29 after subtracting 51 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

In conclusion, the division gives 13424.09803921 with a balance of 2.9e-08.