353502 ÷ 42 
We want to figure out the number of times 353502 can be divided by 42.

Moving on to step 1:
42 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 42

On to step 2:
42 can be fit into 35 0 times, resulting in a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Fetch the next digit (3) from the dividend, attach it to 35 and continue: 353 / 42

Advancing to step 3:
The number 42 fits into 353 8 times, leaving a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 336 from 353 to get 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 42

Step 4:
When dividing 175 by 42, we get 4 with a remainder of 7.
The next digit of our result is 4. 
Result so far: 84.0
The remainder is 7 after subtracting 168 from 175.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 42

Let's proceed to step 5:
When dividing 70 by 42, we get 1 with a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 841.0
If we take 42 away from 70, we end up with 28.
Fetch the next digit (2) from the dividend, attach it to 28 and continue: 282 / 42

Moving on to step 6:
282 divided by 42 is 6 with a remainder of 30.
The next digit of our result is 6. 
Result so far: 8416.0
Deduct 252 from 282 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
If we divide 300 by 42, we get 7 and a remainder of 6.
The next digit of our result is 7. 
Result so far: 8416.7
Deduct 294 from 300 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
The number 42 fits into 60 1 times, leaving a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 8416.71
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
When dividing 180 by 42, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 8416.714
Deduct 168 from 180 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
120 divided by 42 is 2 with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 8416.7142
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
If we divide 360 by 42, we get 8 and a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 8416.71428
Subtract 336 from 360 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
When dividing 240 by 42, we get 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 8416.714285
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
The number 42 fits into 300 7 times, leaving a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 8416.7142857
If we take 294 away from 300, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 14:
60 divided by 42 is 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 8416.71428571
Subtract 42 from 60 to 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.

Our division results in 8416.71428571 with a remaining 1.8e-08.