We divide 590671 by 13
We're looking to find how many times 13 goes into 590671.

Going ahead to step 1:
5 divided by 13 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 13

Moving on to step 2:
When dividing 59 by 13, we get 4 with a remainder of 7.
The next digit of our result is 4. 
Result so far: 4.0
If we take 52 away from 59, we end up with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 13

Step 3:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
The remainder is 5 after subtracting 65 from 70.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 13

On to step 4:
13 goes into 56 4 times with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 454.0
Deduct 52 from 56 and we're left with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 13

On to step 5:
When dividing 47 by 13, we get 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 4543.0
Deduct 39 from 47 and we're left with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 13

Going ahead to step 6:
The number 13 fits into 81 6 times, leaving a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 45436.0
If we take 78 away from 81, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 45436.2
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 45436.23
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 45436.23
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 45436.2307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 11:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 45436.23076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
If we divide 120 by 13, we get 9 and a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 45436.230769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 13:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 45436.2307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
When dividing 40 by 13, we get 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 45436.23076923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 45436.23076923, and the remainder is 1e-09.