Let's divide 4378418 by 517
We want to figure out the number of times 4378418 can be divided by 517.

Going ahead to step 1:
The number 517 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 517

Let's proceed to step 2:
517 goes into 43 0 times with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Bring next digit (7) of the dividend behind the 43 and repeat the process: 437 / 517

Let's proceed to step 3:
517 can be fit into 437 0 times, resulting in a remainder of 437.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 437 and we're left with 437.
Bring next digit (8) of the dividend behind the 437 and repeat the process: 4378 / 517

Advancing to step 4:
The number 517 fits into 4378 8 times, leaving a remainder of 242.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 4136 away from 4378, we end up with 242.
Bring next digit (4) of the dividend behind the 242 and repeat the process: 2424 / 517

On to step 5:
2424 divided by 517 is 4 with a remainder of 356.
The next digit of our result is 4. 
Result so far: 84.0
Subtract 2068 from 2424 to get 356.
Grab the next digit (1) from the dividend, add it to 356, then carry on: 3561 / 517

Advancing to step 6:
The number 517 fits into 3561 6 times, leaving a remainder of 459.
Use 6 as the next digit of our solution. 
Result so far: 846.0
If we take 3102 away from 3561, we end up with 459.
Take the next digit (8) from the dividend and append it to 459, then repeat: 4598 / 517

On to step 7:
517 can be fit into 4598 8 times, resulting in a remainder of 462.
The number 8 becomes the next digit in our result. 
Result so far: 8468.0
Subtract 4136 from 4598 to get 462.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4620, and continue the process.

Going ahead to step 8:
517 goes into 4620 8 times with a remainder of 484.
Record the quotient 8 as the next digit in the result. 
Result so far: 8468.8
The remainder is 484 after subtracting 4136 from 4620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

Step 9:
If we divide 4840 by 517, we get 9 and a remainder of 187.
Put 9 as the next digit of the answer. 
Result so far: 8468.89
If we take 4653 away from 4840, we end up with 187.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1870, and continue the process.

Going ahead to step 10:
1870 divided by 517 is 3 with a remainder of 319.
The next digit of our result is 3. 
Result so far: 8468.893
Subtract 1551 from 1870 to get 319.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3190, and continue the process.

Moving on to step 11:
517 goes into 3190 6 times with a remainder of 88.
The number 6 becomes the next digit in our result. 
Result so far: 8468.8936
Deduct 3102 from 3190 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 12:
517 goes into 880 1 times with a remainder of 363.
Use 1 as the next digit of our solution. 
Result so far: 8468.89361
Deduct 517 from 880 and we're left with 363.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3630, and continue the process.

Going ahead to step 13:
The number 517 fits into 3630 7 times, leaving a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 8468.893617
If we subtract 3619 from 3630, 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.

Going ahead to step 14:
517 can be fit into 110 0 times, resulting in a remainder of 110.
Record the quotient 0 as the next digit in the result. 
Result so far: 8468.893617
If we take 0 away from 110, we end up with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Advancing to step 15:
When dividing 1100 by 517, we get 2 with a remainder of 66.
Put 2 as the next digit of the answer. 
Result so far: 8468.89361702
Subtract 1034 from 1100 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

After the division, we end up with 8468.89361702 and a remainder of 6.6e-08.