We look at the division of 419579 by 94 
We want to figure out the number of times 419579 can be divided by 94.

Going ahead to step 1:
The number 94 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 94

Step 2:
If we divide 41 by 94, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 94

Moving on to step 3:
When dividing 419 by 94, we get 4 with a remainder of 43.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 376 from 419, we get 43.
Bring next digit (5) of the dividend behind the 43 and repeat the process: 435 / 94

Advancing to step 4:
The number 94 fits into 435 4 times, leaving a remainder of 59.
Record the quotient 4 as the next digit in the result. 
Result so far: 44.0
Subtract 376 from 435 to get 59.
Include the next digit (7) from the dividend after 59, then repeat: 597 / 94

Let's proceed to step 5:
If we divide 597 by 94, we get 6 and a remainder of 33.
The number 6 becomes the next digit in our result. 
Result so far: 446.0
If we take 564 away from 597, we end up with 33.
Append the next digit (9) from the dividend to 33 and continue with: 339 / 94

On to step 6:
339 divided by 94 is 3 with a remainder of 57.
The next digit of our result is 3. 
Result so far: 4463.0
If we subtract 282 from 339, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 7:
570 divided by 94 is 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 4463.6
If we take 564 away from 570, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
60 divided by 94 is 0 with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 4463.6
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
94 can be fit into 600 6 times, resulting in a remainder of 36.
The next digit of our result is 6. 
Result so far: 4463.606
Subtracting 564 from 600 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 10:
When dividing 360 by 94, we get 3 with a remainder of 78.
Put 3 as the next digit of the answer. 
Result so far: 4463.6063
If we take 282 away from 360, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 11:
94 goes into 780 8 times with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 4463.60638
Subtracting 752 from 780 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 12:
94 can be fit into 280 2 times, resulting in a remainder of 92.
Put 2 as the next digit of the answer. 
Result so far: 4463.606382
Deduct 188 from 280 and we're left with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Moving on to step 13:
94 goes into 920 9 times with a remainder of 74.
The next digit of our result is 9. 
Result so far: 4463.6063829
Deduct 846 from 920 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 14:
The number 94 fits into 740 7 times, leaving a remainder of 82.
Put 7 as the next digit of the answer. 
Result so far: 4463.60638297
If we subtract 658 from 740, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

After the division, we end up with 4463.60638297 and a remainder of 8.2e-08.