342123 ÷ 44 
We're looking to find how many times 44 goes into 342123.

Advancing to step 1:
44 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 44

Advancing to step 2:
If we divide 34 by 44, we get 0 and a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Fetch the next digit (2) from the dividend, attach it to 34 and continue: 342 / 44

Let's proceed to step 3:
44 goes into 342 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 308 from 342 to get 34.
Grab the next digit (1) from the dividend, add it to 34, then carry on: 341 / 44

Let's proceed to step 4:
44 can be fit into 341 7 times, resulting in a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 77.0
Subtracting 308 from 341 leaves us with 33.
Include the next digit (2) from the dividend after 33, then repeat: 332 / 44

Let's proceed to step 5:
When dividing 332 by 44, we get 7 with a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 777.0
Subtract 308 from 332 to get 24.
Append the next digit (3) from the dividend to 24 and continue with: 243 / 44

Advancing to step 6:
When dividing 243 by 44, we get 5 with a remainder of 23.
The next digit of our result is 5. 
Result so far: 7775.0
The remainder is 23 after subtracting 220 from 243.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
44 goes into 230 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 7775.5
Subtract 220 from 230 to 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.

Going ahead to step 8:
44 can be fit into 100 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 7775.52
Deduct 88 from 100 and we're left with 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:
When dividing 120 by 44, we get 2 with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 7775.522
If we subtract 88 from 120, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 7775.522 and a remainder of 0.0032.