We're dividing 144346 by 45 
We're looking to find how many times 45 goes into 144346.

On to step 1:
45 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 45

Going ahead to step 2:
14 divided by 45 is 0 with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 45

Going ahead to step 3:
The number 45 fits into 144 3 times, leaving a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 135 from 144 leaves us with 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 45

Let's proceed to step 4:
45 goes into 93 2 times with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 32.0
Subtracting 90 from 93 leaves us with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 45

On to step 5:
34 divided by 45 is 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 320.0
Deduct 0 from 34 and we're left with 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 45

Going ahead to step 6:
The number 45 fits into 346 7 times, leaving a remainder of 31.
The next digit of our result is 7. 
Result so far: 3207.0
Subtracting 315 from 346 leaves us 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.

Advancing to step 7:
If we divide 310 by 45, we get 6 and a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 3207.6
The remainder is 40 after subtracting 270 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
When dividing 400 by 45, we get 8 with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 3207.68
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
The number 45 fits into 400 8 times, leaving a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 3207.688
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 3207.688, with a leftover of 0.004.