We look at the division of 47977 by 13 
We're looking to find how many times 13 goes into 47977.

Step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 13

Going ahead to step 2:
When dividing 47 by 13, we get 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 8 after subtracting 39 from 47.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 13

Step 3:
13 goes into 89 6 times with a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
If we take 78 away from 89, we end up with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 13

Moving on to step 4:
13 goes into 117 9 times with a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 369.0
Deduct 117 from 117 and we're left with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 13

Moving on to step 5:
If we divide 7 by 13, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 3690.0
The remainder is 7 after subtracting 0 from 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 6:
If we divide 70 by 13, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 3690.5
The remainder is 5 after subtracting 65 from 70.
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 7:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 3690.53
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.

Going ahead to step 8:
110 divided by 13 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 3690.538
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.

On to step 9:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 3690.5384
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.

Step 10:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 3690.53846
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 11:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 3690.538461
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.

Let's proceed to step 12:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 3690.5384615
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.

Going ahead to step 13:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 3690.53846153
If we subtract 39 from 50, we 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.

The final result is 3690.53846153 with a remainder of 1.1e-08.