We're dividing 350100 by 42 
We want to figure out the number of times 350100 can be divided by 42.

Step 1:
The number 42 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 42

Let's proceed to step 2:
The number 42 fits into 35 0 times, leaving a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Take the next digit (0) from the dividend and append it to 35, then repeat: 350 / 42

On to step 3:
If we divide 350 by 42, we get 8 and a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 14 after subtracting 336 from 350.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 42

Moving on to step 4:
42 can be fit into 141 3 times, resulting in a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 83.0
If we subtract 126 from 141, we get 15.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 42

Let's proceed to step 5:
150 divided by 42 is 3 with a remainder of 24.
Put 3 as the next digit of the answer. 
Result so far: 833.0
The remainder is 24 after subtracting 126 from 150.
Append the next digit (0) from the dividend to 24 and continue with: 240 / 42

Advancing to step 6:
The number 42 fits into 240 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 8335.0
Subtract 210 from 240 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
If we divide 300 by 42, we get 7 and a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 8335.7
Subtract 294 from 300 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
42 goes into 60 1 times with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 8335.71
Subtracting 42 from 60 leaves us 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 9:
180 divided by 42 is 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 8335.714
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.

Advancing to step 10:
42 can be fit into 120 2 times, resulting in a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 8335.7142
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 11:
360 divided by 42 is 8 with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 8335.71428
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.

Going ahead to step 12:
When dividing 240 by 42, we get 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 8335.714285
If we subtract 210 from 240, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
When dividing 300 by 42, we get 7 with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 8335.7142857
Subtract 294 from 300 to get 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.
Put 1 as the next digit of the answer. 
Result so far: 8335.71428571
Deduct 42 from 60 and we're left 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.

Our division results in 8335.71428571 with a remaining 1.8e-08.