Let's divide 681258 by 45
Our goal is to divide 681258 by 45.

Let's proceed to step 1:
The number 45 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 45

Moving on to step 2:
45 can be fit into 68 1 times, resulting in a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 45 away from 68, we end up with 23.
Include the next digit (1) from the dividend after 23, then repeat: 231 / 45

Advancing to step 3:
If we divide 231 by 45, we get 5 and a remainder of 6.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 225 from 231, we get 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 45

Going ahead to step 4:
45 goes into 62 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 151.0
Deduct 45 from 62 and we're left with 17.
Include the next digit (5) from the dividend after 17, then repeat: 175 / 45

Going ahead to step 5:
The number 45 fits into 175 3 times, leaving a remainder of 40.
Put 3 as the next digit of the answer. 
Result so far: 1513.0
Subtract 135 from 175 to get 40.
Grab the next digit (8) from the dividend, add it to 40, then carry on: 408 / 45

Let's proceed to step 6:
If we divide 408 by 45, we get 9 and a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 15139.0
If we take 405 away from 408, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
If we divide 30 by 45, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 15139.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
300 divided by 45 is 6 with a remainder of 30.
The next digit of our result is 6. 
Result so far: 15139.06
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
45 goes into 300 6 times with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 15139.066
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 15139.066, with a leftover of 0.003.