We're dividing 419830 by 94 
Our goal is to divide 419830 by 94.

Let's proceed to step 1:
94 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 94

Advancing to step 2:
The number 94 fits into 41 0 times, leaving a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 94

Step 3:
When dividing 419 by 94, we get 4 with a remainder of 43.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 376 from 419 and we're left with 43.
Include the next digit (8) from the dividend after 43, then repeat: 438 / 94

Step 4:
If we divide 438 by 94, we get 4 and a remainder of 62.
Record the quotient 4 as the next digit in the result. 
Result so far: 44.0
If we take 376 away from 438, we end up with 62.
Append the next digit (3) from the dividend to 62 and continue with: 623 / 94

Moving on to step 5:
If we divide 623 by 94, we get 6 and a remainder of 59.
The number 6 becomes the next digit in our result. 
Result so far: 446.0
If we subtract 564 from 623, we get 59.
Grab the next digit (0) from the dividend, add it to 59, then carry on: 590 / 94

Let's proceed to step 6:
94 can be fit into 590 6 times, resulting in a remainder of 26.
The next digit of our result is 6. 
Result so far: 4466.0
The remainder is 26 after subtracting 564 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
94 can be fit into 260 2 times, resulting in a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 4466.2
Subtracting 188 from 260 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 8:
94 goes into 720 7 times with a remainder of 62.
Use 7 as the next digit of our solution. 
Result so far: 4466.27
If we subtract 658 from 720, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 9:
When dividing 620 by 94, we get 6 with a remainder of 56.
The next digit of our result is 6. 
Result so far: 4466.276
Subtracting 564 from 620 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 10:
560 divided by 94 is 5 with a remainder of 90.
Record the quotient 5 as the next digit in the result. 
Result so far: 4466.2765
If we subtract 470 from 560, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Moving on to step 11:
94 can be fit into 900 9 times, resulting in a remainder of 54.
Write down 9 as next digit of the result. 
Result so far: 4466.27659
Subtract 846 from 900 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 12:
If we divide 540 by 94, we get 5 and a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 4466.276595
If we take 470 away from 540, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 13:
94 goes into 700 7 times with a remainder of 42.
The next digit of our result is 7. 
Result so far: 4466.2765957
Deduct 658 from 700 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 14:
420 divided by 94 is 4 with a remainder of 44.
The next digit of our result is 4. 
Result so far: 4466.27659574
If we take 376 away from 420, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The quotient of the division is 4466.27659574, and the remainder is 4.4e-08.