We're dividing 654574 by 13 
We're looking to find how many times 13 goes into 654574.

Moving on to step 1:
6 divided by 13 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 13

Going ahead to step 2:
When dividing 65 by 13, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 0 after subtracting 65 from 65.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 13

On to step 3:
13 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 50.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 13

Advancing to step 4:
45 divided by 13 is 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 503.0
The remainder is 6 after subtracting 39 from 45.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 13

Let's proceed to step 5:
13 can be fit into 67 5 times, resulting in a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5035.0
Subtract 65 from 67 to get 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 13

Going ahead to step 6:
The number 13 fits into 24 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 50351.0
The remainder is 11 after subtracting 13 from 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 50351.8
Deduct 104 from 110 and we're left 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.

Moving on to step 8:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 50351.84
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 50351.846
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.

Step 10:
If we divide 20 by 13, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 50351.8461
If we take 13 away from 20, we end up 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.

Going ahead to step 11:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 50351.84615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 50351.846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 13:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 50351.8461538
Subtracting 104 from 110 leaves us 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 14:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 50351.84615384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 50351.84615384 with a remainder of 8e-09.