We're dividing 44101311 by 379 
We want to divide 44101311 by 379.

Advancing to step 1:
379 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 379

Going ahead to step 2:
If we divide 44 by 379, we get 0 and a remainder of 44.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 44 to get 44.
Bring next digit (1) of the dividend behind the 44 and repeat the process: 441 / 379

Advancing to step 3:
When dividing 441 by 379, we get 1 with a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 379 from 441 leaves us with 62.
Take the next digit (0) from the dividend and append it to 62, then repeat: 620 / 379

Advancing to step 4:
If we divide 620 by 379, we get 1 and a remainder of 241.
The next digit of our result is 1. 
Result so far: 11.0
Subtract 379 from 620 to get 241.
Take the next digit (1) from the dividend and append it to 241, then repeat: 2411 / 379

Going ahead to step 5:
379 goes into 2411 6 times with a remainder of 137.
Record the quotient 6 as the next digit in the result. 
Result so far: 116.0
If we subtract 2274 from 2411, we get 137.
Bring next digit (3) of the dividend behind the 137 and repeat the process: 1373 / 379

Moving on to step 6:
379 goes into 1373 3 times with a remainder of 236.
Write down 3 as next digit of the result. 
Result so far: 1163.0
Deduct 1137 from 1373 and we're left with 236.
Take the next digit (1) from the dividend and append it to 236, then repeat: 2361 / 379

On to step 7:
The number 379 fits into 2361 6 times, leaving a remainder of 87.
The next digit of our result is 6. 
Result so far: 11636.0
Subtracting 2274 from 2361 leaves us with 87.
Grab the next digit (1) from the dividend, add it to 87, then carry on: 871 / 379

Going ahead to step 8:
379 can be fit into 871 2 times, resulting in a remainder of 113.
The number 2 becomes the next digit in our result. 
Result so far: 116362.0
If we subtract 758 from 871, we get 113.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1130, and continue the process.

Let's proceed to step 9:
379 goes into 1130 2 times with a remainder of 372.
Use 2 as the next digit of our solution. 
Result so far: 116362.2
The remainder is 372 after subtracting 758 from 1130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

Going ahead to step 10:
If we divide 3720 by 379, we get 9 and a remainder of 309.
Use 9 as the next digit of our solution. 
Result so far: 116362.29
Subtracting 3411 from 3720 leaves us with 309.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3090, and continue the process.

Moving on to step 11:
379 can be fit into 3090 8 times, resulting in a remainder of 58.
Write down 8 as next digit of the result. 
Result so far: 116362.298
If we take 3032 away from 3090, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 12:
When dividing 580 by 379, we get 1 with a remainder of 201.
Use 1 as the next digit of our solution. 
Result so far: 116362.2981
Subtracting 379 from 580 leaves us with 201.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2010, and continue the process.

On to step 13:
2010 divided by 379 is 5 with a remainder of 115.
Write down 5 as next digit of the result. 
Result so far: 116362.29815
The remainder is 115 after subtracting 1895 from 2010.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

On to step 14:
379 can be fit into 1150 3 times, resulting in a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 116362.298153
Deduct 1137 from 1150 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 15:
When dividing 130 by 379, we get 0 with a remainder of 130.
Write down 0 as next digit of the result. 
Result so far: 116362.298153
Subtracting 0 from 130 leaves us with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Let's proceed to step 16:
When dividing 1300 by 379, we get 3 with a remainder of 163.
Record the quotient 3 as the next digit in the result. 
Result so far: 116362.29815303
Deduct 1137 from 1300 and we're left with 163.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1630, and continue the process.

In conclusion, the division gives 116362.29815303 with a balance of 1.63e-07.