343481 ÷ 42 
We want to divide 343481 by 42.

Moving on to step 1:
If we divide 3 by 42, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 42

Step 2:
The number 42 fits into 34 0 times, leaving a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 42

Moving on to step 3:
42 can be fit into 343 8 times, resulting in a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 336 from 343 to get 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 42

Step 4:
42 can be fit into 74 1 times, resulting in a remainder of 32.
The next digit of our result is 1. 
Result so far: 81.0
Subtract 42 from 74 to get 32.
Append the next digit (8) from the dividend to 32 and continue with: 328 / 42

Moving on to step 5:
42 can be fit into 328 7 times, resulting in a remainder of 34.
The next digit of our result is 7. 
Result so far: 817.0
Subtract 294 from 328 to get 34.
Append the next digit (1) from the dividend to 34 and continue with: 341 / 42

On to step 6:
42 can be fit into 341 8 times, resulting in a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 8178.0
Subtracting 336 from 341 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
The number 42 fits into 50 1 times, leaving a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 8178.1
Deduct 42 from 50 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 8:
When dividing 80 by 42, we get 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 8178.11
If we subtract 42 from 80, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 8178.11 with a remainder of 0.038.