37745 divided by 13 
We want to divide 37745 by 13.

Let's proceed to step 1:
3 divided by 13 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 13

Moving on to step 2:
When dividing 37 by 13, we get 2 with a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 26 away from 37, we end up with 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 13

Going ahead to step 3:
The number 13 fits into 117 9 times, leaving a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 29.0
If we subtract 117 from 117, we get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 13

Advancing to step 4:
13 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 290.0
Subtract 0 from 4 to get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 13

Moving on to step 5:
13 goes into 45 3 times with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 2903.0
The remainder is 6 after subtracting 39 from 45.
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 6:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 2903.4
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.

Step 7:
13 goes into 80 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 2903.46
Deduct 78 from 80 and we're left 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.
Put 1 as the next digit of the answer. 
Result so far: 2903.461
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.

On to step 9:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 2903.4615
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.

Step 10:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 2903.46153
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.

Advancing to step 11:
13 goes into 110 8 times with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 2903.461538
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.

Going ahead to step 12:
13 goes into 60 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 2903.4615384
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.

Let's proceed to step 13:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 2903.46153846
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.

The final result is 2903.46153846 with a remainder of 2e-09.