126145 ÷ 44 
Our goal is to divide 126145 by 44.

Going ahead to step 1:
1 divided by 44 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 44

On to step 2:
The number 44 fits into 12 0 times, leaving a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 44

Let's proceed to step 3:
44 goes into 126 2 times with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 88 from 126 to get 38.
Take the next digit (1) from the dividend and append it to 38, then repeat: 381 / 44

Step 4:
If we divide 381 by 44, we get 8 and a remainder of 29.
The next digit of our result is 8. 
Result so far: 28.0
The remainder is 29 after subtracting 352 from 381.
Fetch the next digit (4) from the dividend, attach it to 29 and continue: 294 / 44

Let's proceed to step 5:
44 goes into 294 6 times with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 286.0
Deduct 264 from 294 and we're left with 30.
Bring next digit (5) of the dividend behind the 30 and repeat the process: 305 / 44

Let's proceed to step 6:
The number 44 fits into 305 6 times, leaving a remainder of 41.
Use 6 as the next digit of our solution. 
Result so far: 2866.0
Deduct 264 from 305 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 7:
44 can be fit into 410 9 times, resulting in a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 2866.9
Subtract 396 from 410 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
The number 44 fits into 140 3 times, leaving a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 2866.93
Deduct 132 from 140 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
44 goes into 80 1 times with a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 2866.931
Deduct 44 from 80 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
If we divide 360 by 44, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 2866.9318
Subtracting 352 from 360 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
44 can be fit into 80 1 times, resulting in a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 2866.93181
The remainder is 36 after subtracting 44 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 12:
The number 44 fits into 360 8 times, leaving a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 2866.931818
Subtract 352 from 360 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
If we divide 80 by 44, we get 1 and a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 2866.9318181
Subtracting 44 from 80 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 14:
When dividing 360 by 44, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 2866.93181818
Subtract 352 from 360 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 2866.93181818 with a balance of 8e-09.