640698 ÷ 42 
Our goal is to divide 640698 by 42.

Let's proceed to step 1:
When dividing 6 by 42, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 42

Going ahead to step 2:
If we divide 64 by 42, we get 1 and a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 42 from 64 and we're left with 22.
Grab the next digit (0) from the dividend, add it to 22, then carry on: 220 / 42

Advancing to step 3:
42 can be fit into 220 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 210 from 220, we get 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 42

Advancing to step 4:
42 can be fit into 106 2 times, resulting in a remainder of 22.
The next digit of our result is 2. 
Result so far: 152.0
If we take 84 away from 106, we end up with 22.
Take the next digit (9) from the dividend and append it to 22, then repeat: 229 / 42

On to step 5:
229 divided by 42 is 5 with a remainder of 19.
The next digit of our result is 5. 
Result so far: 1525.0
If we subtract 210 from 229, we get 19.
Fetch the next digit (8) from the dividend, attach it to 19 and continue: 198 / 42

Let's proceed to step 6:
The number 42 fits into 198 4 times, leaving a remainder of 30.
Put 4 as the next digit of the answer. 
Result so far: 15254.0
Subtracting 168 from 198 leaves us 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.

Let's proceed to step 7:
When dividing 300 by 42, we get 7 with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 15254.7
Subtracting 294 from 300 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.

Going ahead to step 8:
42 can be fit into 60 1 times, resulting in a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 15254.71
Subtracting 42 from 60 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 9:
When dividing 180 by 42, we get 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 15254.714
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
When dividing 120 by 42, we get 2 with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 15254.7142
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 11:
360 divided by 42 is 8 with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 15254.71428
If we take 336 away from 360, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
42 goes into 240 5 times with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 15254.714285
If we take 210 away from 240, we end up 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.

Going ahead to step 13:
42 can be fit into 300 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 15254.7142857
If we subtract 294 from 300, we 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.

Going ahead to step 14:
42 can be fit into 60 1 times, resulting in a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 15254.71428571
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 15254.71428571 with a balance of 1.8e-08.