We're dividing 57674 by 13 
We want to divide 57674 by 13.

Going ahead to step 1:
13 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 13

On to step 2:
13 can be fit into 57 4 times, resulting in a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 52 from 57, we get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 13

Going ahead to step 3:
13 can be fit into 56 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 44.0
If we take 52 away from 56, we end up with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 13

Going ahead to step 4:
13 can be fit into 47 3 times, resulting in a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 443.0
Subtract 39 from 47 to get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 13

On to step 5:
13 goes into 84 6 times with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 4436.0
If we subtract 78 from 84, 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 6:
60 divided by 13 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 4436.4
If we subtract 52 from 60, we 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.

Going ahead to step 7:
13 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 4436.46
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.

On to step 8:
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: 4436.461
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.

Moving on to step 9:
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: 4436.4615
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.

Moving on to step 10:
50 divided by 13 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 4436.46153
Subtracting 39 from 50 leaves us 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.

Moving on to step 11:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 4436.461538
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 12:
When dividing 60 by 13, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 4436.4615384
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.

Advancing to step 13:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 4436.46153846
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.

The final outcome is 4436.46153846, with a leftover of 2e-09.