137500 divided by 27 
We're looking to find how many times 27 goes into 137500.

Step 1:
If we divide 1 by 27, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 27

Moving on to step 2:
The number 27 fits into 13 0 times, leaving a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 27

On to step 3:
137 divided by 27 is 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 135 from 137 to get 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 27

Advancing to step 4:
When dividing 25 by 27, we get 0 with a remainder of 25.
The next digit of our result is 0. 
Result so far: 50.0
Subtract 0 from 25 to get 25.
Fetch the next digit (0) from the dividend, attach it to 25 and continue: 250 / 27

Step 5:
250 divided by 27 is 9 with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 509.0
Subtract 243 from 250 to get 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 27

Let's proceed to step 6:
The number 27 fits into 70 2 times, leaving a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 5092.0
Deduct 54 from 70 and we're left 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 7:
The number 27 fits into 160 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 5092.5
Subtract 135 from 160 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
250 divided by 27 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 5092.59
The remainder is 7 after subtracting 243 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
If we divide 70 by 27, we get 2 and a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 5092.592
Subtract 54 from 70 to get 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 10:
160 divided by 27 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5092.5925
The remainder is 25 after subtracting 135 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 11:
250 divided by 27 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 5092.59259
Subtracting 243 from 250 leaves us 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.

Let's proceed to step 12:
27 can be fit into 70 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 5092.592592
Deduct 54 from 70 and we're left 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.

Advancing to step 13:
If we divide 160 by 27, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 5092.5925925
Deduct 135 from 160 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 14:
27 goes into 250 9 times with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 5092.59259259
If we subtract 243 from 250, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 5092.59259259 with a balance of 7e-09.