We look at the division of 469188 by 13 
We're looking to find how many times 13 goes into 469188.

Let's proceed to step 1:
4 divided by 13 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 13

Advancing to step 2:
The number 13 fits into 46 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 39 from 46 leaves us with 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 13

Step 3:
79 divided by 13 is 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
If we take 78 away from 79, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 13

Advancing to step 4:
13 goes into 11 0 times with a remainder of 11.
The next digit of our result is 0. 
Result so far: 360.0
If we subtract 0 from 11, we get 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 13

Going ahead to step 5:
The number 13 fits into 118 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 3609.0
Subtract 117 from 118 to get 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 13

Let's proceed to step 6:
13 goes into 18 1 times with a remainder of 5.
The next digit of our result is 1. 
Result so far: 36091.0
If we subtract 13 from 18, we get 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 7:
50 divided by 13 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 36091.3
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 36091.38
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.

Moving on to step 9:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 36091.384
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 10:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 36091.3846
If we subtract 78 from 80, we 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.

Advancing to step 11:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 36091.38461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
13 goes into 70 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 36091.384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 36091.3846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 14:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 36091.38461538
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.

In conclusion, the division gives 36091.38461538 with a balance of 6e-09.