We look at the division of 375620 by 13 
We're looking to find how many times 13 goes into 375620.

Step 1:
If we divide 3 by 13, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 13

On to step 2:
13 can be fit into 37 2 times, resulting in a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 26 from 37, we get 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 13

Advancing to step 3:
13 goes into 115 8 times with a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 28.0
Deduct 104 from 115 and we're left with 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 13

Moving on to step 4:
13 goes into 116 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 288.0
Subtract 104 from 116 to get 12.
Fetch the next digit (2) from the dividend, attach it to 12 and continue: 122 / 13

Going ahead to step 5:
When dividing 122 by 13, we get 9 with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 2889.0
If we take 117 away from 122, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 13

Going ahead to step 6:
13 goes into 50 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 28893.0
Subtract 39 from 50 to 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.

Going ahead to step 7:
13 goes into 110 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 28893.8
If we take 104 away from 110, we end up 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.

Step 8:
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: 28893.84
If we take 52 away from 60, we end up 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.

Let's proceed to step 9:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 28893.846
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.

Let's proceed to step 10:
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: 28893.8461
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.

Let's proceed to step 11:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 28893.84615
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.

Moving on to step 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 28893.846153
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.

On to step 13:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 28893.8461538
Subtract 104 from 110 to 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.

Moving on to step 14:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 28893.84615384
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.

The quotient of the division is 28893.84615384, and the remainder is 8e-09.