We're dividing 44553 by 34 
We want to divide 44553 by 34.

Let's proceed to step 1:
34 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 34

Step 2:
When dividing 44 by 34, we get 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 34 from 44, we get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 34

Moving on to step 3:
If we divide 105 by 34, we get 3 and a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Deduct 102 from 105 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 34

Advancing to step 4:
35 divided by 34 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 131.0
Subtract 34 from 35 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 34

Let's proceed to step 5:
13 divided by 34 is 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 1310.0
If we take 0 away from 13, we end up 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.

Let's proceed to step 6:
If we divide 130 by 34, we get 3 and a remainder of 28.
The next digit of our result is 3. 
Result so far: 1310.3
If we take 102 away from 130, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 7:
280 divided by 34 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 1310.38
Subtract 272 from 280 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.

On to step 8:
The number 34 fits into 80 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 1310.382
Subtract 68 from 80 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
120 divided by 34 is 3 with a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 1310.3823
Deduct 102 from 120 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 10:
180 divided by 34 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 1310.38235
If we subtract 170 from 180, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
34 can be fit into 100 2 times, resulting in a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 1310.382352
Deduct 68 from 100 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 12:
The number 34 fits into 320 9 times, leaving a remainder of 14.
The next digit of our result is 9. 
Result so far: 1310.3823529
If we subtract 306 from 320, we 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.

Going ahead to step 13:
34 can be fit into 140 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 1310.38235294
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 1310.38235294 and a remainder of 4e-09.