Let's divide 145761 by 23
Let's see how many times 23 fits into 145761.

Advancing to step 1:
The number 23 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 23

Advancing to step 2:
If we divide 14 by 23, we get 0 and 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.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 23

On to step 3:
If we divide 145 by 23, we get 6 and a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 138 away from 145, we end up with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 23

Advancing to step 4:
If we divide 77 by 23, we get 3 and a remainder of 8.
The next digit of our result is 3. 
Result so far: 63.0
Deduct 69 from 77 and we're left with 8.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 23

Moving on to step 5:
86 divided by 23 is 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 633.0
If we take 69 away from 86, we end up with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 23

Moving on to step 6:
23 can be fit into 171 7 times, resulting in a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 6337.0
Subtract 161 from 171 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
If we divide 100 by 23, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 6337.4
If we take 92 away from 100, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
23 goes into 80 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 6337.43
Deduct 69 from 80 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 9:
110 divided by 23 is 4 with a remainder of 18.
The next digit of our result is 4. 
Result so far: 6337.434
Subtracting 92 from 110 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 10:
23 goes into 180 7 times with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 6337.4347
Deduct 161 from 180 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 11:
190 divided by 23 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 6337.43478
The remainder is 6 after subtracting 184 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
23 can be fit into 60 2 times, resulting in a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 6337.434782
If we take 46 away from 60, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 13:
23 goes into 140 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 6337.4347826
If we subtract 138 from 140, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 14:
If we divide 20 by 23, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 6337.4347826
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 6337.4347826 with a balance of 2e-08.