Let's divide 377905 by 13
We're looking to find how many times 13 goes into 377905.

Going ahead to step 1:
3 divided by 13 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 13

On to step 2:
37 divided by 13 is 2 with a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 11 after subtracting 26 from 37.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 13

On to step 3:
If we divide 117 by 13, we get 9 and a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 29.0
Subtracting 117 from 117 leaves us with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 13

Step 4:
13 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 290.0
If we take 0 away from 9, we end up with 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 13

Advancing to step 5:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 2906.0
The remainder is 12 after subtracting 78 from 90.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 13

Moving on to step 6:
When dividing 125 by 13, we get 9 with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 29069.0
Deduct 117 from 125 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.

Advancing to step 7:
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: 29069.6
Subtracting 78 from 80 leaves us 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 8:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 29069.61
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 9:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 29069.615
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 10:
If we divide 50 by 13, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 29069.6153
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.

Step 11:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 29069.61538
If we subtract 104 from 110, we 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.

Advancing to step 12:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 29069.615384
The remainder is 8 after subtracting 52 from 60.
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 13:
13 goes into 80 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 29069.6153846
If we take 78 away from 80, 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.

Advancing to step 14:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 29069.61538461
Subtracting 13 from 20 leaves us 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.

The quotient of the division is 29069.61538461, and the remainder is 7e-09.