We look at the division of 146861 by 45 
We're looking to find how many times 45 goes into 146861.

Let's proceed to step 1:
1 divided by 45 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 45

Step 2:
45 goes into 14 0 times with a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 14 after subtracting 0 from 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 45

Moving on to step 3:
45 can be fit into 146 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 135 from 146 and we're left with 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 45

Moving on to step 4:
The number 45 fits into 118 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 32.0
If we subtract 90 from 118, we get 28.
Bring next digit (6) of the dividend behind the 28 and repeat the process: 286 / 45

Moving on to step 5:
45 can be fit into 286 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 326.0
Subtracting 270 from 286 leaves us with 16.
Include the next digit (1) from the dividend after 16, then repeat: 161 / 45

Let's proceed to step 6:
If we divide 161 by 45, we get 3 and a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 3263.0
If we subtract 135 from 161, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
45 can be fit into 260 5 times, resulting in a remainder of 35.
The next digit of our result is 5. 
Result so far: 3263.5
The remainder is 35 after subtracting 225 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 3263.57
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 3263.577
Deduct 315 from 350 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 3263.577 with a balance of 0.0035.