We look at the division of 420356 by 65 
We want to figure out the number of times 420356 can be divided by 65.

Step 1:
65 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 65

Step 2:
If we divide 42 by 65, we get 0 and a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Include the next digit (0) from the dividend after 42, then repeat: 420 / 65

Step 3:
420 divided by 65 is 6 with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 390 away from 420, we end up with 30.
Include the next digit (3) from the dividend after 30, then repeat: 303 / 65

Step 4:
The number 65 fits into 303 4 times, leaving a remainder of 43.
Write down 4 as next digit of the result. 
Result so far: 64.0
Deduct 260 from 303 and we're left with 43.
Fetch the next digit (5) from the dividend, attach it to 43 and continue: 435 / 65

Moving on to step 5:
65 goes into 435 6 times with a remainder of 45.
Write down 6 as next digit of the result. 
Result so far: 646.0
The remainder is 45 after subtracting 390 from 435.
Append the next digit (6) from the dividend to 45 and continue with: 456 / 65

Moving on to step 6:
If we divide 456 by 65, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 6467.0
The remainder is 1 after subtracting 455 from 456.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
10 divided by 65 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6467.0
If we subtract 0 from 10, we get 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 8:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 6467.01
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.

Going ahead to step 9:
When dividing 350 by 65, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6467.015
If we subtract 325 from 350, we 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.

On to step 10:
65 can be fit into 250 3 times, resulting in a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 6467.0153
Deduct 195 from 250 and we're left 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.

Advancing to step 11:
65 goes into 550 8 times with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 6467.01538
Deduct 520 from 550 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
When dividing 300 by 65, we get 4 with a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 6467.015384
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.

Advancing to step 13:
If we divide 400 by 65, we get 6 and a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 6467.0153846
If we subtract 390 from 400, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
65 goes into 100 1 times with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 6467.01538461
Subtract 65 from 100 to 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.

In conclusion, the division gives 6467.01538461 with a balance of 3.5e-08.