Let's divide 822121 by 42
We want to figure out the number of times 822121 can be divided by 42.

Advancing to step 1:
When dividing 8 by 42, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 42

On to step 2:
The number 42 fits into 82 1 times, leaving a remainder of 40.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 42 from 82 to get 40.
Fetch the next digit (2) from the dividend, attach it to 40 and continue: 402 / 42

Moving on to step 3:
402 divided by 42 is 9 with a remainder of 24.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
The remainder is 24 after subtracting 378 from 402.
Fetch the next digit (1) from the dividend, attach it to 24 and continue: 241 / 42

Let's proceed to step 4:
The number 42 fits into 241 5 times, leaving a remainder of 31.
Put 5 as the next digit of the answer. 
Result so far: 195.0
The remainder is 31 after subtracting 210 from 241.
Grab the next digit (2) from the dividend, add it to 31, then carry on: 312 / 42

Moving on to step 5:
42 goes into 312 7 times with a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 1957.0
Subtracting 294 from 312 leaves us with 18.
Bring next digit (1) of the dividend behind the 18 and repeat the process: 181 / 42

Going ahead to step 6:
When dividing 181 by 42, we get 4 with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 19574.0
Deduct 168 from 181 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
When dividing 130 by 42, we get 3 with a remainder of 4.
The next digit of our result is 3. 
Result so far: 19574.3
If we take 126 away from 130, we end up 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.

Going ahead to step 8:
42 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 19574.3
Deduct 0 from 40 and we're left 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.

Let's proceed to step 9:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 19574.309
Subtract 378 from 400 to 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.

On to step 10:
If we divide 220 by 42, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 19574.3095
The remainder is 10 after subtracting 210 from 220.
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:
When dividing 100 by 42, we get 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 19574.30952
Deduct 84 from 100 and we're left 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.

Let's proceed to step 12:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 19574.309523
Subtract 126 from 160 to get 34.
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 13:
42 goes into 340 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 19574.3095238
If we subtract 336 from 340, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
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: 19574.3095238
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.

After the division, we end up with 19574.3095238 and a remainder of 4e-08.