591407 ÷ 13 
We want to figure out the number of times 591407 can be divided by 13.

On to step 1:
5 divided by 13 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 13

Moving on to step 2:
59 divided by 13 is 4 with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 52 from 59 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 13

Let's proceed to step 3:
13 goes into 71 5 times with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 45.0
Subtract 65 from 71 to get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 13

On to step 4:
64 divided by 13 is 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 454.0
If we subtract 52 from 64, we get 12.
Take the next digit (0) from the dividend and append it to 12, then repeat: 120 / 13

Moving on to step 5:
13 goes into 120 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 4549.0
The remainder is 3 after subtracting 117 from 120.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 13

Going ahead to step 6:
The number 13 fits into 37 2 times, leaving a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 45492.0
Subtracting 26 from 37 leaves us with 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 7:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 45492.8
The remainder is 6 after subtracting 104 from 110.
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 8:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 45492.84
Deduct 52 from 60 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.

Moving on to step 9:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 45492.846
Subtracting 78 from 80 leaves us 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 10:
When dividing 20 by 13, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 45492.8461
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.

Moving on to step 11:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 45492.84615
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.

Let's proceed to step 12:
50 divided by 13 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 45492.846153
If we take 39 away from 50, we end up with 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:
If we divide 110 by 13, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 45492.8461538
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.

Going ahead to step 14:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 45492.84615384
Deduct 52 from 60 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.

In conclusion, the division gives 45492.84615384 with a balance of 8e-09.