828553 divided by 42 
We want to figure out the number of times 828553 can be divided by 42.

Let's proceed to step 1:
42 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 42

Going ahead to step 2:
If we divide 82 by 42, we get 1 and a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 42 from 82, we get 40.
Bring next digit (8) of the dividend behind the 40 and repeat the process: 408 / 42

Let's proceed to step 3:
408 divided by 42 is 9 with a remainder of 30.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtracting 378 from 408 leaves us with 30.
Fetch the next digit (5) from the dividend, attach it to 30 and continue: 305 / 42

Moving on to step 4:
The number 42 fits into 305 7 times, leaving a remainder of 11.
The next digit of our result is 7. 
Result so far: 197.0
If we take 294 away from 305, we end up with 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 42

Moving on to step 5:
115 divided by 42 is 2 with a remainder of 31.
The next digit of our result is 2. 
Result so far: 1972.0
Deduct 84 from 115 and we're left with 31.
Grab the next digit (3) from the dividend, add it to 31, then carry on: 313 / 42

Step 6:
When dividing 313 by 42, we get 7 with a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 19727.0
If we subtract 294 from 313, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
When dividing 190 by 42, we get 4 with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 19727.4
If we subtract 168 from 190, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
42 goes into 220 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 19727.45
If we take 210 away from 220, we end up 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 9:
42 goes into 100 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 19727.452
If we take 84 away from 100, we end up with 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 10:
160 divided by 42 is 3 with a remainder of 34.
The next digit of our result is 3. 
Result so far: 19727.4523
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 11:
The number 42 fits into 340 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 19727.45238
Subtracting 336 from 340 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
If we divide 40 by 42, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 19727.45238
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 13:
42 goes into 400 9 times with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 19727.4523809
Deduct 378 from 400 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 14:
42 goes into 220 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 19727.45238095
Subtracting 210 from 220 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.

After the division, we end up with 19727.45238095 and a remainder of 1e-08.