359742 divided by 13 
We want to divide 359742 by 13.

Let's proceed to step 1:
If we divide 3 by 13, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 13

Going ahead to step 2:
If we divide 35 by 13, we get 2 and a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 26 from 35 leaves us with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 13

Advancing to step 3:
If we divide 99 by 13, we get 7 and a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Deduct 91 from 99 and we're left with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 13

Advancing to step 4:
13 can be fit into 87 6 times, resulting in a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 276.0
If we take 78 away from 87, we end up with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 13

Moving on to step 5:
94 divided by 13 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 2767.0
If we subtract 91 from 94, we get 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 13

On to step 6:
13 goes into 32 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 27672.0
The remainder is 6 after subtracting 26 from 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 27672.4
Subtracting 52 from 60 leaves us 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 8:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 27672.46
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.

Moving on to step 9:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 27672.461
Deduct 13 from 20 and we're left 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.

Going ahead to step 10:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 27672.4615
Subtract 65 from 70 to 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.

Let's proceed to step 11:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 27672.46153
Subtract 39 from 50 to get 11.
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 12:
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: 27672.461538
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.

Step 13:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 27672.4615384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 27672.46153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 27672.46153846 and a remainder of 2e-09.