149774 ÷ 13 
We're looking to find how many times 13 goes into 149774.

Moving on to step 1:
When dividing 1 by 13, we get 0 with 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.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 13

Going ahead to step 2:
13 can be fit into 14 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 1 after subtracting 13 from 14.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 13

Going ahead to step 3:
19 divided by 13 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 13 from 19 leaves us with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 13

Let's proceed to step 4:
When dividing 67 by 13, we get 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 115.0
If we subtract 65 from 67, we get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 13

Moving on to step 5:
The number 13 fits into 27 2 times, leaving a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 1152.0
If we take 26 away from 27, we end up with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 13

Let's proceed to step 6:
13 goes into 14 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 11521.0
If we take 13 away from 14, 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 7:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 11521.0
If we take 0 away from 10, we end up 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.

Going ahead to step 8:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 11521.07
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
13 goes into 90 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 11521.076
Subtracting 78 from 90 leaves us 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:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 11521.0769
Subtracting 117 from 120 leaves us 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.

Step 11:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 11521.07692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
40 divided by 13 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 11521.076923
The remainder is 1 after subtracting 39 from 40.
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:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 11521.076923
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.

Going ahead to step 14:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 11521.07692307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 11521.07692307 with a remainder of 9e-09.