159003 ÷ 44 
Our goal is to divide 159003 by 44.

Let's proceed to step 1:
If we divide 1 by 44, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 44

On to step 2:
44 goes into 15 0 times with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 44

On to step 3:
The number 44 fits into 159 3 times, leaving a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 132 from 159 to get 27.
Bring next digit (0) of the dividend behind the 27 and repeat the process: 270 / 44

Let's proceed to step 4:
When dividing 270 by 44, we get 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 36.0
If we subtract 264 from 270, we get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 44

Let's proceed to step 5:
60 divided by 44 is 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 361.0
Deduct 44 from 60 and we're left with 16.
Append the next digit (3) from the dividend to 16 and continue with: 163 / 44

Going ahead to step 6:
The number 44 fits into 163 3 times, leaving a remainder of 31.
Record the quotient 3 as the next digit in the result. 
Result so far: 3613.0
Deduct 132 from 163 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
When dividing 310 by 44, we get 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 3613.7
Deduct 308 from 310 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 8:
44 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 3613.7
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
If we divide 200 by 44, we get 4 and a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 3613.704
If we take 176 away from 200, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
The number 44 fits into 240 5 times, leaving a remainder of 20.
The next digit of our result is 5. 
Result so far: 3613.7045
The remainder is 20 after subtracting 220 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
200 divided by 44 is 4 with a remainder of 24.
The next digit of our result is 4. 
Result so far: 3613.70454
Subtracting 176 from 200 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 12:
The number 44 fits into 240 5 times, leaving a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 3613.704545
Deduct 220 from 240 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 13:
200 divided by 44 is 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 3613.7045454
Subtract 176 from 200 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
44 can be fit into 240 5 times, resulting in a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 3613.70454545
If we subtract 220 from 240, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 3613.70454545 with a remaining 2e-08.