598178 ÷ 13 
Our goal is to divide 598178 by 13.

Let's proceed to step 1:
13 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 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.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 52 from 59 and we're left with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 13

Advancing to step 3:
The number 13 fits into 78 6 times, leaving a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 46.0
If we take 78 away from 78, we end up with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 13

On to step 4:
1 divided by 13 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 460.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 13

Let's proceed to step 5:
17 divided by 13 is 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 4601.0
The remainder is 4 after subtracting 13 from 17.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 13

Moving on to step 6:
13 goes into 48 3 times with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 46013.0
Subtracting 39 from 48 leaves us 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.

Step 7:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 46013.6
Deduct 78 from 90 and we're left 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.

Advancing to step 8:
If we divide 120 by 13, we get 9 and a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 46013.69
Subtracting 117 from 120 leaves us 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.

Moving on to step 9:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 46013.692
If we subtract 26 from 30, we get 4.
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 10:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 46013.6923
Subtracting 39 from 40 leaves us 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.

Advancing to step 11:
10 divided by 13 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 46013.6923
Subtract 0 from 10 to get 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 12:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 46013.692307
If we take 91 away from 100, we end up 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.

Going ahead to step 13:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 46013.6923076
Subtract 78 from 90 to get 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 14:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 46013.69230769
Subtracting 117 from 120 leaves us 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.

The quotient of the division is 46013.69230769, and the remainder is 3e-09.