We're dividing 743421 by 65 
Let's see how many times 65 fits into 743421.

Advancing to step 1:
The number 65 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 65

On to step 2:
74 divided by 65 is 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 65 from 74 to get 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 65

Moving on to step 3:
65 goes into 93 1 times with a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 65 from 93, we get 28.
Include the next digit (4) from the dividend after 28, then repeat: 284 / 65

Let's proceed to step 4:
65 goes into 284 4 times with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 114.0
If we take 260 away from 284, we end up with 24.
Fetch the next digit (2) from the dividend, attach it to 24 and continue: 242 / 65

On to step 5:
When dividing 242 by 65, we get 3 with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 1143.0
If we subtract 195 from 242, we get 47.
Include the next digit (1) from the dividend after 47, then repeat: 471 / 65

Moving on to step 6:
65 can be fit into 471 7 times, resulting in a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 11437.0
Deduct 455 from 471 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
The number 65 fits into 160 2 times, leaving a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 11437.2
If we subtract 130 from 160, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
When dividing 300 by 65, we get 4 with a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 11437.24
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 9:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 11437.246
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
If we divide 100 by 65, we get 1 and a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 11437.2461
If we subtract 65 from 100, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 11:
When dividing 350 by 65, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 11437.24615
Subtracting 325 from 350 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 12:
65 can be fit into 250 3 times, resulting in a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 11437.246153
If we take 195 away from 250, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 13:
65 can be fit into 550 8 times, resulting in a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 11437.2461538
Subtract 520 from 550 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 14:
If we divide 300 by 65, we get 4 and a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 11437.24615384
Deduct 260 from 300 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 11437.24615384 with a balance of 4e-08.