186533 divided by 38 
We want to figure out the number of times 186533 can be divided by 38.

Step 1:
When dividing 1 by 38, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 38

Step 2:
38 can be fit into 18 0 times, resulting in a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 18, we end up with 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 38

Going ahead to step 3:
38 goes into 186 4 times with a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 152 from 186 and we're left with 34.
Take the next digit (5) from the dividend and append it to 34, then repeat: 345 / 38

Moving on to step 4:
38 goes into 345 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 49.0
Subtracting 342 from 345 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 38

Moving on to step 5:
38 goes into 33 0 times with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 490.0
The remainder is 33 after subtracting 0 from 33.
Grab the next digit (3) from the dividend, add it to 33, then carry on: 333 / 38

Let's proceed to step 6:
38 can be fit into 333 8 times, resulting in a remainder of 29.
The number 8 becomes the next digit in our result. 
Result so far: 4908.0
The remainder is 29 after subtracting 304 from 333.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
38 goes into 290 7 times with a remainder of 24.
Record the quotient 7 as the next digit in the result. 
Result so far: 4908.7
If we take 266 away from 290, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 8:
38 goes into 240 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 4908.76
Subtract 228 from 240 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
The number 38 fits into 120 3 times, leaving a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 4908.763
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 10:
60 divided by 38 is 1 with a remainder of 22.
The next digit of our result is 1. 
Result so far: 4908.7631
The remainder is 22 after subtracting 38 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 11:
38 can be fit into 220 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 4908.76315
Subtracting 190 from 220 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.

Going ahead to step 12:
If we divide 300 by 38, we get 7 and a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 4908.763157
The remainder is 34 after subtracting 266 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 13:
38 goes into 340 8 times with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 4908.7631578
Subtract 304 from 340 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 14:
If we divide 360 by 38, we get 9 and a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 4908.76315789
Subtract 342 from 360 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Our division results in 4908.76315789 with a remaining 1.8e-08.