349745 ÷ 42 
Our goal is to divide 349745 by 42.

Advancing to step 1:
42 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 42

Let's proceed to step 2:
34 divided by 42 is 0 with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Bring next digit (9) of the dividend behind the 34 and repeat the process: 349 / 42

On to step 3:
42 goes into 349 8 times with a remainder of 13.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 336 from 349 to get 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 42

Moving on to step 4:
When dividing 137 by 42, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 83.0
If we subtract 126 from 137, we get 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 42

Moving on to step 5:
114 divided by 42 is 2 with a remainder of 30.
The next digit of our result is 2. 
Result so far: 832.0
Subtract 84 from 114 to get 30.
Fetch the next digit (5) from the dividend, attach it to 30 and continue: 305 / 42

Moving on to step 6:
42 goes into 305 7 times with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 8327.0
The remainder is 11 after subtracting 294 from 305.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
If we divide 110 by 42, we get 2 and a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 8327.2
If we subtract 84 from 110, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
42 goes into 260 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 8327.26
Deduct 252 from 260 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
If we divide 80 by 42, we get 1 and a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 8327.261
The remainder is 38 after subtracting 42 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 10:
If we divide 380 by 42, we get 9 and a remainder of 2.
The next digit of our result is 9. 
Result so far: 8327.2619
The remainder is 2 after subtracting 378 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
20 divided by 42 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 8327.2619
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
The number 42 fits into 200 4 times, leaving a remainder of 32.
The next digit of our result is 4. 
Result so far: 8327.261904
The remainder is 32 after subtracting 168 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 13:
320 divided by 42 is 7 with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 8327.2619047
Subtracting 294 from 320 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 14:
42 goes into 260 6 times with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 8327.26190476
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 8327.26190476 and a remainder of 8e-09.