We divide 378005 by 44
Our goal is to divide 378005 by 44.

Going ahead to step 1:
44 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 44

Let's proceed to step 2:
44 goes into 37 0 times with a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Bring next digit (8) of the dividend behind the 37 and repeat the process: 378 / 44

Going ahead to step 3:
The number 44 fits into 378 8 times, leaving a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 352 from 378 to get 26.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 44

Moving on to step 4:
44 can be fit into 260 5 times, resulting in a remainder of 40.
The next digit of our result is 5. 
Result so far: 85.0
Subtracting 220 from 260 leaves us with 40.
Include the next digit (0) from the dividend after 40, then repeat: 400 / 44

On to step 5:
The number 44 fits into 400 9 times, leaving a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 859.0
Subtracting 396 from 400 leaves us with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 44

Going ahead to step 6:
When dividing 45 by 44, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 8591.0
Deduct 44 from 45 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
44 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 8591.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
When dividing 100 by 44, we get 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 8591.02
The remainder is 12 after subtracting 88 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
If we divide 120 by 44, we get 2 and a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 8591.022
If we take 88 away from 120, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 8591.022, and the remainder is 0.0032.