We look at the division of 137545 by 11 
Let's see how many times 11 fits into 137545.

Advancing to step 1:
The number 11 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 11

Moving on to step 2:
11 can be fit into 13 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 11 from 13 and we're left with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 11

Advancing to step 3:
When dividing 27 by 11, we get 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 22 away from 27, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 11

Advancing to step 4:
The number 11 fits into 55 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 125.0
Deduct 55 from 55 and we're left with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 11

Advancing to step 5:
11 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 1250.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 11

Let's proceed to step 6:
When dividing 45 by 11, we get 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 12504.0
Subtracting 44 from 45 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
When dividing 10 by 11, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 12504.0
If we subtract 0 from 10, we 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.

Advancing to step 8:
100 divided by 11 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 12504.09
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 9:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 12504.09
Subtract 0 from 10 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.

Step 10:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 12504.0909
Deduct 99 from 100 and we're left with 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 11:
11 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 12504.0909
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
When dividing 100 by 11, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 12504.090909
If we subtract 99 from 100, we 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.

Advancing to step 13:
10 divided by 11 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 12504.090909
Subtract 0 from 10 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 14:
11 goes into 100 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 12504.09090909
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 12504.09090909, and the remainder is 1e-09.