We're dividing 10343 by 45 
Our goal is to divide 10343 by 45.

Moving on to step 1:
If we divide 1 by 45, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 45

Step 2:
10 divided by 45 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 45

Moving on to step 3:
103 divided by 45 is 2 with a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 90 from 103 to get 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 45

Step 4:
134 divided by 45 is 2 with a remainder of 44.
The next digit of our result is 2. 
Result so far: 22.0
Subtract 90 from 134 to get 44.
Include the next digit (3) from the dividend after 44, then repeat: 443 / 45

Moving on to step 5:
45 goes into 443 9 times with a remainder of 38.
Put 9 as the next digit of the answer. 
Result so far: 229.0
Deduct 405 from 443 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 6:
45 goes into 380 8 times with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 229.8
The remainder is 20 after subtracting 360 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 7:
The number 45 fits into 200 4 times, leaving a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 229.84
The remainder is 20 after subtracting 180 from 200.
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 8:
45 goes into 200 4 times with a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 229.844
Subtracting 180 from 200 leaves us 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 229.844, and the remainder is 0.002.