We look at the division of 5419710 by 629 
We want to figure out the number of times 5419710 can be divided by 629.

Step 1:
629 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 629

Going ahead to step 2:
The number 629 fits into 54 0 times, leaving a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 54 and we're left with 54.
Bring next digit (1) of the dividend behind the 54 and repeat the process: 541 / 629

Going ahead to step 3:
629 goes into 541 0 times with a remainder of 541.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 541, we end up with 541.
Append the next digit (9) from the dividend to 541 and continue with: 5419 / 629

Step 4:
When dividing 5419 by 629, we get 8 with a remainder of 387.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 5032 from 5419 and we're left with 387.
Bring next digit (7) of the dividend behind the 387 and repeat the process: 3877 / 629

Step 5:
When dividing 3877 by 629, we get 6 with a remainder of 103.
Put 6 as the next digit of the answer. 
Result so far: 86.0
If we subtract 3774 from 3877, we get 103.
Grab the next digit (1) from the dividend, add it to 103, then carry on: 1031 / 629

Step 6:
The number 629 fits into 1031 1 times, leaving a remainder of 402.
Record the quotient 1 as the next digit in the result. 
Result so far: 861.0
If we take 629 away from 1031, we end up with 402.
Include the next digit (0) from the dividend after 402, then repeat: 4020 / 629

Advancing to step 7:
4020 divided by 629 is 6 with a remainder of 246.
The next digit of our result is 6. 
Result so far: 8616.0
Subtracting 3774 from 4020 leaves us with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Going ahead to step 8:
The number 629 fits into 2460 3 times, leaving a remainder of 573.
The next digit of our result is 3. 
Result so far: 8616.3
Deduct 1887 from 2460 and we're left with 573.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5730, and continue the process.

Going ahead to step 9:
The number 629 fits into 5730 9 times, leaving a remainder of 69.
The number 9 becomes the next digit in our result. 
Result so far: 8616.39
Subtract 5661 from 5730 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 10:
629 goes into 690 1 times with a remainder of 61.
Put 1 as the next digit of the answer. 
Result so far: 8616.391
Deduct 629 from 690 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 11:
610 divided by 629 is 0 with a remainder of 610.
The number 0 becomes the next digit in our result. 
Result so far: 8616.391
If we subtract 0 from 610, we get 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6100, and continue the process.

Going ahead to step 12:
When dividing 6100 by 629, we get 9 with a remainder of 439.
Record the quotient 9 as the next digit in the result. 
Result so far: 8616.39109
If we subtract 5661 from 6100, we get 439.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4390, and continue the process.

Advancing to step 13:
The number 629 fits into 4390 6 times, leaving a remainder of 616.
Record the quotient 6 as the next digit in the result. 
Result so far: 8616.391096
Subtract 3774 from 4390 to get 616.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6160, and continue the process.

Step 14:
6160 divided by 629 is 9 with a remainder of 499.
The number 9 becomes the next digit in our result. 
Result so far: 8616.3910969
Subtract 5661 from 6160 to get 499.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4990, and continue the process.

On to step 15:
If we divide 4990 by 629, we get 7 and a remainder of 587.
Put 7 as the next digit of the answer. 
Result so far: 8616.39109697
Subtract 4403 from 4990 to get 587.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5870, and continue the process.

The final outcome is 8616.39109697, with a leftover of 5.87e-07.