154376 ÷ 13 
We want to figure out the number of times 154376 can be divided by 13.

Going ahead to step 1:
The number 13 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 13

Going ahead to step 2:
15 divided by 13 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 13 from 15, we get 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 13

Going ahead to step 3:
13 can be fit into 24 1 times, resulting in a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
The remainder is 11 after subtracting 13 from 24.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 13

Advancing to step 4:
The number 13 fits into 113 8 times, leaving a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 118.0
If we take 104 away from 113, we end up with 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 13

Going ahead to step 5:
When dividing 97 by 13, we get 7 with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 1187.0
If we subtract 91 from 97, we get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 13

On to step 6:
When dividing 66 by 13, we get 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 11875.0
If we subtract 65 from 66, 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.

Going ahead to step 7:
13 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 11875.0
Deduct 0 from 10 and we're left with 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 8:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 11875.07
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 9:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 11875.076
Deduct 78 from 90 and we're left 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.

Advancing to step 10:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 11875.0769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 11875.07692
If we take 26 away from 30, we end up 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 12:
If we divide 40 by 13, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 11875.076923
If we take 39 away from 40, we end up 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 13:
When dividing 10 by 13, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 11875.076923
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.

On to step 14:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 11875.07692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 11875.07692307 with a balance of 9e-09.