Let's divide 354609 by 13
Our goal is to divide 354609 by 13.

Step 1:
13 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 13

Moving on to step 2:
The number 13 fits into 35 2 times, leaving a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 9 after subtracting 26 from 35.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 13

On to step 3:
When dividing 94 by 13, we get 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
If we take 91 away from 94, we end up with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 13

Moving on to step 4:
The number 13 fits into 36 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 272.0
If we subtract 26 from 36, we get 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 13

Step 5:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 2727.0
If we subtract 91 from 100, we get 9.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 13

Step 6:
If we divide 99 by 13, we get 7 and a remainder of 8.
The next digit of our result is 7. 
Result so far: 27277.0
Deduct 91 from 99 and we're left 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.

Step 7:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 27277.6
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.

Advancing to step 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 27277.61
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
70 divided by 13 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 27277.615
The remainder is 5 after subtracting 65 from 70.
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.
Write down 3 as next digit of the result. 
Result so far: 27277.6153
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.

Let's proceed to step 11:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 27277.61538
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.

On to step 12:
60 divided by 13 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 27277.615384
If we take 52 away from 60, we end up 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.

Advancing to step 13:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 27277.6153846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 14:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 27277.61538461
Subtracting 13 from 20 leaves us 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.

The quotient of the division is 27277.61538461, and the remainder is 7e-09.