374189 ÷ 65 
Our goal is to divide 374189 by 65.

Advancing to step 1:
3 divided by 65 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 65

Let's proceed to step 2:
If we divide 37 by 65, we get 0 and a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Append the next digit (4) from the dividend to 37 and continue with: 374 / 65

Advancing to step 3:
When dividing 374 by 65, we get 5 with a remainder of 49.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 325 from 374 leaves us with 49.
Include the next digit (1) from the dividend after 49, then repeat: 491 / 65

On to step 4:
If we divide 491 by 65, we get 7 and a remainder of 36.
Use 7 as the next digit of our solution. 
Result so far: 57.0
The remainder is 36 after subtracting 455 from 491.
Bring next digit (8) of the dividend behind the 36 and repeat the process: 368 / 65

Advancing to step 5:
65 goes into 368 5 times with a remainder of 43.
Put 5 as the next digit of the answer. 
Result so far: 575.0
Subtracting 325 from 368 leaves us with 43.
Include the next digit (9) from the dividend after 43, then repeat: 439 / 65

Going ahead to step 6:
When dividing 439 by 65, we get 6 with a remainder of 49.
Use 6 as the next digit of our solution. 
Result so far: 5756.0
If we take 390 away from 439, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 7:
65 goes into 490 7 times with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 5756.7
Subtracting 455 from 490 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
When dividing 350 by 65, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 5756.75
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 5756.753
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 10:
When dividing 550 by 65, we get 8 with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 5756.7538
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 11:
If we divide 300 by 65, we get 4 and a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 5756.75384
Subtract 260 from 300 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 12:
65 goes into 400 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 5756.753846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 5756.7538461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 14:
When dividing 350 by 65, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 5756.75384615
Subtract 325 from 350 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 5756.75384615, with a leftover of 2.5e-08.