We're dividing 105437 by 23 
Our goal is to divide 105437 by 23.

On to step 1:
1 divided by 23 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 23

Advancing to step 2:
23 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 23

Step 3:
If we divide 105 by 23, we get 4 and a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 92 from 105 and we're left with 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 23

Advancing to step 4:
134 divided by 23 is 5 with a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 45.0
If we subtract 115 from 134, we get 19.
Grab the next digit (3) from the dividend, add it to 19, then carry on: 193 / 23

Advancing to step 5:
When dividing 193 by 23, we get 8 with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 458.0
Subtract 184 from 193 to get 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 23

Advancing to step 6:
97 divided by 23 is 4 with a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 4584.0
If we take 92 away from 97, we end up with 5.
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 7:
The number 23 fits into 50 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 4584.2
Deduct 46 from 50 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
23 goes into 40 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 4584.21
Subtracting 23 from 40 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 9:
23 can be fit into 170 7 times, resulting in a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 4584.217
If we subtract 161 from 170, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
The number 23 fits into 90 3 times, leaving a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 4584.2173
The remainder is 21 after subtracting 69 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 11:
When dividing 210 by 23, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 4584.21739
The remainder is 3 after subtracting 207 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
23 goes into 30 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 4584.217391
Deduct 23 from 30 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
The number 23 fits into 70 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 4584.2173913
Subtract 69 from 70 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 14:
When dividing 10 by 23, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 4584.2173913
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 4584.2173913, with a leftover of 1e-08.