103379 ÷ 45 
We want to figure out the number of times 103379 can be divided by 45.

On to step 1:
45 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 45

Let's proceed to step 2:
If we divide 10 by 45, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 45

On to step 3:
If we divide 103 by 45, we get 2 and a remainder of 13.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 13 after subtracting 90 from 103.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 45

Step 4:
45 can be fit into 133 2 times, resulting in a remainder of 43.
Use 2 as the next digit of our solution. 
Result so far: 22.0
The remainder is 43 after subtracting 90 from 133.
Take the next digit (7) from the dividend and append it to 43, then repeat: 437 / 45

Step 5:
437 divided by 45 is 9 with a remainder of 32.
Write down 9 as next digit of the result. 
Result so far: 229.0
Subtracting 405 from 437 leaves us with 32.
Include the next digit (9) from the dividend after 32, then repeat: 329 / 45

Going ahead to step 6:
If we divide 329 by 45, we get 7 and a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 2297.0
The remainder is 14 after subtracting 315 from 329.
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 7:
The number 45 fits into 140 3 times, leaving a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 2297.3
Subtract 135 from 140 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
45 goes into 50 1 times with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 2297.31
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 9:
45 can be fit into 50 1 times, resulting in a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 2297.311
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 2297.311 with a balance of 0.0005.