We look at the division of 371667 by 44 
We want to figure out the number of times 371667 can be divided by 44.

Step 1:
The number 44 fits into 3 0 times, leaving 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.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 44

Let's proceed to step 2:
44 goes into 37 0 times with a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Append the next digit (1) from the dividend to 37 and continue with: 371 / 44

Going ahead to step 3:
If we divide 371 by 44, we get 8 and a remainder of 19.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 352 from 371 leaves us with 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 44

Step 4:
If we divide 196 by 44, we get 4 and a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 84.0
The remainder is 20 after subtracting 176 from 196.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 44

Moving on to step 5:
If we divide 206 by 44, we get 4 and a remainder of 30.
The next digit of our result is 4. 
Result so far: 844.0
If we subtract 176 from 206, we get 30.
Fetch the next digit (7) from the dividend, attach it to 30 and continue: 307 / 44

Step 6:
If we divide 307 by 44, we get 6 and a remainder of 43.
Put 6 as the next digit of the answer. 
Result so far: 8446.0
If we take 264 away from 307, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
44 can be fit into 430 9 times, resulting in a remainder of 34.
Put 9 as the next digit of the answer. 
Result so far: 8446.9
Deduct 396 from 430 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
44 goes into 340 7 times with a remainder of 32.
The number 7 becomes the next digit in our result. 
Result so far: 8446.97
If we subtract 308 from 340, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
When dividing 320 by 44, we get 7 with a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 8446.977
If we take 308 away from 320, we end up 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.

Our division results in 8446.977 with a remaining 0.0012.