153626 ÷ 44 
Our goal is to divide 153626 by 44.

Advancing to step 1:
If we divide 1 by 44, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
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

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
Subtracting 0 from 15 leaves us with 15.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 44

Step 3:
If we divide 153 by 44, we get 3 and a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 132 from 153, we get 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 44

On to step 4:
When dividing 216 by 44, we get 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 34.0
If we subtract 176 from 216, we get 40.
Append the next digit (2) from the dividend to 40 and continue with: 402 / 44

Advancing to step 5:
402 divided by 44 is 9 with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 349.0
If we subtract 396 from 402, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 44

Moving on to step 6:
The number 44 fits into 66 1 times, leaving a remainder of 22.
The next digit of our result is 1. 
Result so far: 3491.0
If we subtract 44 from 66, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 7:
44 can be fit into 220 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 3491.5
If we subtract 220 from 220, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
If we divide 0 by 44, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 3491.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
0 divided by 44 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 3491.5
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 3491.5, with a leftover of 0.0.