429698 ÷ 82 
We want to figure out the number of times 429698 can be divided by 82.

Going ahead to step 1:
4 divided by 82 is 0 with 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 (2) from the dividend, add it to 4, then carry on: 42 / 82

Advancing to step 2:
If we divide 42 by 82, we get 0 and a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Grab the next digit (9) from the dividend, add it to 42, then carry on: 429 / 82

Let's proceed to step 3:
82 can be fit into 429 5 times, resulting in a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 410 from 429 to get 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 82

Moving on to step 4:
If we divide 196 by 82, we get 2 and a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
Subtracting 164 from 196 leaves us with 32.
Append the next digit (9) from the dividend to 32 and continue with: 329 / 82

Let's proceed to step 5:
If we divide 329 by 82, we get 4 and a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 524.0
The remainder is 1 after subtracting 328 from 329.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 82

Step 6:
If we divide 18 by 82, we get 0 and a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 5240.0
If we subtract 0 from 18, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
180 divided by 82 is 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 5240.2
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
If we divide 160 by 82, we get 1 and a remainder of 78.
The next digit of our result is 1. 
Result so far: 5240.21
If we subtract 82 from 160, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 9:
82 can be fit into 780 9 times, resulting in a remainder of 42.
Put 9 as the next digit of the answer. 
Result so far: 5240.219
The remainder is 42 after subtracting 738 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 10:
420 divided by 82 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 5240.2195
Subtracting 410 from 420 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
100 divided by 82 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 5240.21951
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
82 goes into 180 2 times with a remainder of 16.
The next digit of our result is 2. 
Result so far: 5240.219512
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 13:
82 goes into 160 1 times with a remainder of 78.
Record the quotient 1 as the next digit in the result. 
Result so far: 5240.2195121
If we take 82 away from 160, 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.

Advancing to step 14:
If we divide 780 by 82, we get 9 and a remainder of 42.
Put 9 as the next digit of the answer. 
Result so far: 5240.21951219
Deduct 738 from 780 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.

After the division, we end up with 5240.21951219 and a remainder of 4.2e-08.