Let's divide 117461 by 13
Our goal is to divide 117461 by 13.

Moving on to step 1:
13 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 13

Let's proceed to step 2:
13 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 13

Moving on to step 3:
When dividing 117 by 13, we get 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we subtract 117 from 117, we get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 13

Going ahead to step 4:
When dividing 4 by 13, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 90.0
If we take 0 away from 4, we end up with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Going ahead to step 5:
13 can be fit into 46 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 903.0
The remainder is 7 after subtracting 39 from 46.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 13

Advancing to step 6:
The number 13 fits into 71 5 times, leaving a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 9035.0
Subtracting 65 from 71 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.

Moving on to step 7:
If we divide 60 by 13, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 9035.4
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.

Step 8:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 9035.46
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.

Let's proceed to step 9:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 9035.461
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 10:
70 divided by 13 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 9035.4615
Subtracting 65 from 70 leaves us 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.

Advancing to step 11:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 9035.46153
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.

Moving on to step 12:
13 goes into 110 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 9035.461538
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.

Let's proceed to 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: 9035.4615384
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.

Going ahead to step 14:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 9035.46153846
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.

The quotient of the division is 9035.46153846, and the remainder is 2e-09.