Let's divide 42965 by 37
We want to figure out the number of times 42965 can be divided by 37.

Advancing to step 1:
If we divide 4 by 37, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 37

Let's proceed to step 2:
The number 37 fits into 42 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 37 away from 42, we end up with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 37

On to step 3:
When dividing 59 by 37, we get 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 37 from 59 leaves us with 22.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 37

Step 4:
If we divide 226 by 37, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 116.0
The remainder is 4 after subtracting 222 from 226.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 37

Moving on to step 5:
37 goes into 45 1 times with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1161.0
If we take 37 away from 45, 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.

On to step 6:
When dividing 80 by 37, we get 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 1161.2
Subtracting 74 from 80 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.

Advancing to step 7:
37 can be fit into 60 1 times, resulting in a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 1161.21
Subtracting 37 from 60 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
37 goes into 230 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 1161.216
Deduct 222 from 230 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.

On to step 9:
80 divided by 37 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 1161.2162
If we take 74 away from 80, 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.

Let's proceed to step 10:
37 goes into 60 1 times with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 1161.21621
If we subtract 37 from 60, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 11:
37 can be fit into 230 6 times, resulting in a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 1161.216216
If we take 222 away from 230, 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.

Step 12:
80 divided by 37 is 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 1161.2162162
Subtract 74 from 80 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 13:
37 can be fit into 60 1 times, resulting in a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 1161.21621621
Deduct 37 from 60 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Our division results in 1161.21621621 with a remaining 2.3e-08.