We're dividing 466377 by 13 
We're looking to find how many times 13 goes into 466377.

Advancing to step 1:
4 divided by 13 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 13

Step 2:
If we divide 46 by 13, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 39 away from 46, we end up with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 13

Step 3:
When dividing 76 by 13, we get 5 with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Subtract 65 from 76 to get 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 13

Moving on to step 4:
13 goes into 113 8 times with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 358.0
Subtract 104 from 113 to get 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 13

Step 5:
When dividing 97 by 13, we get 7 with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 3587.0
If we take 91 away from 97, we end up with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 13

On to step 6:
67 divided by 13 is 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 35875.0
If we take 65 away from 67, we end up with 2.
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 7:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 35875.1
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.

Let's proceed to step 8:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 35875.15
Deduct 65 from 70 and we're left 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.

Step 9:
50 divided by 13 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 35875.153
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 10:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 35875.1538
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.

On to step 11:
When dividing 60 by 13, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 35875.15384
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.

On to step 12:
13 goes into 80 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 35875.153846
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.

Moving on to step 13:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 35875.1538461
If we take 13 away from 20, we end up 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.

Step 14:
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: 35875.15384615
If we subtract 65 from 70, 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.

The final result is 35875.15384615 with a remainder of 5e-09.