We're dividing 419682 by 473 
We want to figure out the number of times 419682 can be divided by 473.

Advancing to step 1:
4 divided by 473 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
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 / 473

On to step 2:
473 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Grab the next digit (9) from the dividend, add it to 41, then carry on: 419 / 473

Going ahead to step 3:
When dividing 419 by 473, we get 0 with a remainder of 419.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 419, we end up with 419.
Append the next digit (6) from the dividend to 419 and continue with: 4196 / 473

On to step 4:
The number 473 fits into 4196 8 times, leaving a remainder of 412.
The next digit of our result is 8. 
Result so far: 8.0
If we take 3784 away from 4196, we end up with 412.
Append the next digit (8) from the dividend to 412 and continue with: 4128 / 473

Advancing to step 5:
The number 473 fits into 4128 8 times, leaving a remainder of 344.
The number 8 becomes the next digit in our result. 
Result so far: 88.0
If we take 3784 away from 4128, we end up with 344.
Fetch the next digit (2) from the dividend, attach it to 344 and continue: 3442 / 473

Moving on to step 6:
3442 divided by 473 is 7 with a remainder of 131.
Write down 7 as next digit of the result. 
Result so far: 887.0
Subtract 3311 from 3442 to get 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Going ahead to step 7:
The number 473 fits into 1310 2 times, leaving a remainder of 364.
Put 2 as the next digit of the answer. 
Result so far: 887.2
Deduct 946 from 1310 and we're left with 364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3640, and continue the process.

Moving on to step 8:
473 goes into 3640 7 times with a remainder of 329.
Put 7 as the next digit of the answer. 
Result so far: 887.27
Subtracting 3311 from 3640 leaves us with 329.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3290, and continue the process.

Moving on to step 9:
3290 divided by 473 is 6 with a remainder of 452.
Use 6 as the next digit of our solution. 
Result so far: 887.276
Deduct 2838 from 3290 and we're left with 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

Moving on to step 10:
473 can be fit into 4520 9 times, resulting in a remainder of 263.
Put 9 as the next digit of the answer. 
Result so far: 887.2769
Subtract 4257 from 4520 to get 263.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2630, and continue the process.

Let's proceed to step 11:
The number 473 fits into 2630 5 times, leaving a remainder of 265.
Write down 5 as next digit of the result. 
Result so far: 887.27695
The remainder is 265 after subtracting 2365 from 2630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

Moving on to step 12:
When dividing 2650 by 473, we get 5 with a remainder of 285.
Put 5 as the next digit of the answer. 
Result so far: 887.276955
The remainder is 285 after subtracting 2365 from 2650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

After the division, we end up with 887.276955 and a remainder of 2.85e-05.