69405 ÷ 13 
Let's see how many times 13 fits into 69405.

Moving on to step 1:
6 divided by 13 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 13

On to step 2:
If we divide 69 by 13, we get 5 and a remainder of 4.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 65 from 69 and we're left with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 13

Going ahead to step 3:
If we divide 44 by 13, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 53.0
The remainder is 5 after subtracting 39 from 44.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 13

Step 4:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 533.0
If we take 39 away from 50, we end up with 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 13

Advancing to step 5:
13 goes into 115 8 times with a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 5338.0
If we subtract 104 from 115, we 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.

Step 6:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 5338.8
Subtract 104 from 110 to get 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 7:
If we divide 60 by 13, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 5338.84
If we subtract 52 from 60, we 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.

On to step 8:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 5338.846
Subtract 78 from 80 to 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.

On to step 9:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 5338.8461
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.

Going ahead to step 10:
13 goes into 70 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 5338.84615
Subtracting 65 from 70 leaves us 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.

Advancing to step 11:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 5338.846153
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.

Let's proceed to step 12:
When dividing 110 by 13, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 5338.8461538
Subtract 104 from 110 to get 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 13:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 5338.84615384
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 5338.84615384 with a remainder of 8e-09.