145605 ÷ 44 
We want to divide 145605 by 44.

Let's proceed to step 1:
When dividing 1 by 44, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 44

On to step 2:
44 can be fit into 14 0 times, resulting in a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 44

Going ahead to step 3:
44 can be fit into 145 3 times, resulting in a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 132 from 145 leaves us with 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 44

Let's proceed to step 4:
If we divide 136 by 44, we get 3 and a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Subtracting 132 from 136 leaves us with 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 44

Advancing to step 5:
When dividing 40 by 44, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 330.0
If we take 0 away from 40, we end up with 40.
Fetch the next digit (5) from the dividend, attach it to 40 and continue: 405 / 44

On to step 6:
405 divided by 44 is 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 3309.0
The remainder is 9 after subtracting 396 from 405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
44 can be fit into 90 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 3309.2
The remainder is 2 after subtracting 88 from 90.
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:
The number 44 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 3309.2
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.

On to step 9:
44 goes into 200 4 times with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 3309.204
The remainder is 24 after subtracting 176 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
44 can be fit into 240 5 times, resulting in a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 3309.2045
Subtract 220 from 240 to 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.

Moving on to step 11:
If we divide 200 by 44, we get 4 and a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 3309.20454
The remainder is 24 after subtracting 176 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
240 divided by 44 is 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 3309.204545
If we take 220 away from 240, we end up 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:
44 can be fit into 200 4 times, resulting in a remainder of 24.
The next digit of our result is 4. 
Result so far: 3309.2045454
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 14:
44 goes into 240 5 times with a remainder of 20.
The next digit of our result is 5. 
Result so far: 3309.20454545
If we take 220 away from 240, we end up 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.

The quotient of the division is 3309.20454545, and the remainder is 2e-08.