493701 ÷ 13 
Let's see how many times 13 fits into 493701.

Moving on to step 1:
4 divided by 13 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 13

Going ahead to step 2:
When dividing 49 by 13, we get 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 39 from 49 to get 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 13

Let's proceed to step 3:
13 goes into 103 7 times with a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 37.0
The remainder is 12 after subtracting 91 from 103.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 13

On to step 4:
When dividing 127 by 13, we get 9 with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 379.0
If we subtract 117 from 127, we get 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 13

Step 5:
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: 3797.0
Subtract 91 from 100 to get 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 13

Step 6:
The number 13 fits into 91 7 times, leaving a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 37977.0
Deduct 91 from 91 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
When dividing 0 by 13, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 37977.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
The number 13 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 37977.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 37977.0 with a balance of 0.0.