We look at the division of 419330 by 48 
We want to figure out the number of times 419330 can be divided by 48.

On to step 1:
48 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 48

Advancing to step 2:
48 goes into 41 0 times with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 48

Moving on to step 3:
48 can be fit into 419 8 times, resulting in a remainder of 35.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we subtract 384 from 419, we get 35.
Bring next digit (3) of the dividend behind the 35 and repeat the process: 353 / 48

Step 4:
The number 48 fits into 353 7 times, leaving a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 87.0
Subtract 336 from 353 to get 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 48

Going ahead to step 5:
48 can be fit into 173 3 times, resulting in a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 873.0
If we take 144 away from 173, we end up with 29.
Append the next digit (0) from the dividend to 29 and continue with: 290 / 48

On to step 6:
The number 48 fits into 290 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 8736.0
The remainder is 2 after subtracting 288 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
When dividing 20 by 48, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 8736.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
48 goes into 200 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 8736.04
The remainder is 8 after subtracting 192 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
48 can be fit into 80 1 times, resulting in a remainder of 32.
The next digit of our result is 1. 
Result so far: 8736.041
Subtract 48 from 80 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 10:
320 divided by 48 is 6 with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 8736.0416
Deduct 288 from 320 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
48 goes into 320 6 times with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 8736.04166
Subtracting 288 from 320 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 8736.04166 and a remainder of 3.2e-05.