We're dividing 359188 by 23 
We want to figure out the number of times 359188 can be divided by 23.

Step 1:
If we divide 3 by 23, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 23

Advancing to step 2:
When dividing 35 by 23, we get 1 with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 23 away from 35, we end up with 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 23

On to step 3:
The number 23 fits into 129 5 times, leaving a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we subtract 115 from 129, we get 14.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 23

On to step 4:
141 divided by 23 is 6 with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 156.0
If we take 138 away from 141, we end up with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 23

Let's proceed to step 5:
38 divided by 23 is 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1561.0
The remainder is 15 after subtracting 23 from 38.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 23

Step 6:
23 goes into 158 6 times with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 15616.0
Subtract 138 from 158 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 7:
200 divided by 23 is 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 15616.8
If we take 184 away from 200, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
If we divide 160 by 23, we get 6 and a remainder of 22.
The next digit of our result is 6. 
Result so far: 15616.86
If we take 138 away from 160, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
23 can be fit into 220 9 times, resulting in a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 15616.869
The remainder is 13 after subtracting 207 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 10:
130 divided by 23 is 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 15616.8695
Subtracting 115 from 130 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 11:
The number 23 fits into 150 6 times, leaving a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 15616.86956
Subtracting 138 from 150 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
When dividing 120 by 23, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 15616.869565
Subtract 115 from 120 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.

On to step 13:
23 goes into 50 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 15616.8695652
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 14:
40 divided by 23 is 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 15616.86956521
Deduct 23 from 40 and we're left 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.

The final outcome is 15616.86956521, with a leftover of 1.7e-08.