371779 ÷ 42 
We want to figure out the number of times 371779 can be divided by 42.

Advancing to step 1:
42 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 42

Let's proceed to step 2:
42 goes into 37 0 times with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Bring next digit (1) of the dividend behind the 37 and repeat the process: 371 / 42

Going ahead to step 3:
371 divided by 42 is 8 with a remainder of 35.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 336 from 371 leaves us with 35.
Include the next digit (7) from the dividend after 35, then repeat: 357 / 42

Moving on to step 4:
The number 42 fits into 357 8 times, leaving a remainder of 21.
Use 8 as the next digit of our solution. 
Result so far: 88.0
If we subtract 336 from 357, we get 21.
Bring next digit (7) of the dividend behind the 21 and repeat the process: 217 / 42

On to step 5:
When dividing 217 by 42, we get 5 with a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 885.0
Subtract 210 from 217 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 42

Step 6:
42 can be fit into 79 1 times, resulting in a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 8851.0
If we subtract 42 from 79, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 7:
When dividing 370 by 42, we get 8 with a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 8851.8
The remainder is 34 after subtracting 336 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 8851.88
Subtracting 336 from 340 leaves us 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.

The final result is 8851.88 with a remainder of 0.004.