We look at the division of 461377 by 13 
We want to figure out the number of times 461377 can be divided by 13.

Let's proceed to step 1:
13 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Going ahead to step 2:
If we divide 46 by 13, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 39 from 46 and we're left with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 13

Moving on to step 3:
If we divide 71 by 13, we get 5 and a remainder of 6.
The next digit of our result is 5. 
Result so far: 35.0
Deduct 65 from 71 and we're left with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 13

Moving on to step 4:
The number 13 fits into 63 4 times, leaving a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 354.0
If we subtract 52 from 63, we get 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 13

Let's proceed to step 5:
The number 13 fits into 117 9 times, leaving a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 3549.0
Subtract 117 from 117 to get 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 13

Going ahead to step 6:
When dividing 7 by 13, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 35490.0
If we subtract 0 from 7, 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.

On to step 7:
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: 35490.5
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.

Going ahead to step 8:
When dividing 50 by 13, we get 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 35490.53
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 35490.538
Deduct 104 from 110 and we're left 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.

Advancing to step 10:
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: 35490.5384
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.

On to step 11:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 35490.53846
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.

Step 12:
When dividing 20 by 13, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 35490.538461
Subtract 13 from 20 to 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.

Moving on to step 13:
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: 35490.5384615
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.

On to step 14:
When dividing 50 by 13, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 35490.53846153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 35490.53846153, with a leftover of 1.1e-08.