We look at the division of 371844 by 66 
Our goal is to divide 371844 by 66.

On to step 1:
66 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
The remainder is 3 after subtracting 0 from 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 66

Going ahead to step 2:
The number 66 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Include the next digit (1) from the dividend after 37, then repeat: 371 / 66

Going ahead to step 3:
66 can be fit into 371 5 times, resulting in a remainder of 41.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 330 from 371 and we're left with 41.
Take the next digit (8) from the dividend and append it to 41, then repeat: 418 / 66

Step 4:
When dividing 418 by 66, we get 6 with a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 56.0
If we subtract 396 from 418, we get 22.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 66

Moving on to step 5:
224 divided by 66 is 3 with a remainder of 26.
The next digit of our result is 3. 
Result so far: 563.0
If we subtract 198 from 224, we get 26.
Grab the next digit (4) from the dividend, add it to 26, then carry on: 264 / 66

Going ahead to step 6:
264 divided by 66 is 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 5634.0
Subtract 264 from 264 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
If we divide 0 by 66, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 5634.0
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
When dividing 0 by 66, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5634.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 5634.0, with a leftover of 0.0.