We're dividing 137340 by 13 
We want to divide 137340 by 13.

Moving on to step 1:
The number 13 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 13

Let's proceed to step 2:
When dividing 13 by 13, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 13 from 13 to get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 13

Let's proceed to step 3:
When dividing 7 by 13, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 7 to get 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 13

On to step 4:
The number 13 fits into 73 5 times, leaving a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we take 65 away from 73, we end up with 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 13

Let's proceed to step 5:
The number 13 fits into 84 6 times, leaving a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 1056.0
Deduct 78 from 84 and we're left with 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 13

Step 6:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 10564.0
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
When dividing 80 by 13, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 10564.6
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
20 divided by 13 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 10564.61
Deduct 13 from 20 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.

Let's proceed to step 9:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 10564.615
Subtract 65 from 70 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.

Let's proceed to step 10:
50 divided by 13 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 10564.6153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 11:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 10564.61538
If we take 104 away from 110, 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.

Step 12:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 10564.615384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
13 goes into 80 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 10564.6153846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 14:
When dividing 20 by 13, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 10564.61538461
Subtract 13 from 20 to 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.

Our division results in 10564.61538461 with a remaining 7e-09.