34398468 ÷ 641 
Our goal is to divide 34398468 by 641.

Step 1:
641 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 641

Step 2:
If we divide 34 by 641, we get 0 and a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 641

Let's proceed to step 3:
The number 641 fits into 343 0 times, leaving a remainder of 343.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 343, we end up with 343.
Bring next digit (9) of the dividend behind the 343 and repeat the process: 3439 / 641

Step 4:
641 can be fit into 3439 5 times, resulting in a remainder of 234.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 234 after subtracting 3205 from 3439.
Fetch the next digit (8) from the dividend, attach it to 234 and continue: 2348 / 641

Moving on to step 5:
The number 641 fits into 2348 3 times, leaving a remainder of 425.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
The remainder is 425 after subtracting 1923 from 2348.
Fetch the next digit (4) from the dividend, attach it to 425 and continue: 4254 / 641

Moving on to step 6:
If we divide 4254 by 641, we get 6 and a remainder of 408.
Record the quotient 6 as the next digit in the result. 
Result so far: 536.0
Subtract 3846 from 4254 to get 408.
Fetch the next digit (6) from the dividend, attach it to 408 and continue: 4086 / 641

Going ahead to step 7:
4086 divided by 641 is 6 with a remainder of 240.
Write down 6 as next digit of the result. 
Result so far: 5366.0
The remainder is 240 after subtracting 3846 from 4086.
Include the next digit (8) from the dividend after 240, then repeat: 2408 / 641

On to step 8:
2408 divided by 641 is 3 with a remainder of 485.
Put 3 as the next digit of the answer. 
Result so far: 53663.0
The remainder is 485 after subtracting 1923 from 2408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4850, and continue the process.

Moving on to step 9:
The number 641 fits into 4850 7 times, leaving a remainder of 363.
The number 7 becomes the next digit in our result. 
Result so far: 53663.7
Subtracting 4487 from 4850 leaves us with 363.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3630, and continue the process.

Step 10:
3630 divided by 641 is 5 with a remainder of 425.
Record the quotient 5 as the next digit in the result. 
Result so far: 53663.75
Subtract 3205 from 3630 to get 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4250, and continue the process.

Step 11:
641 can be fit into 4250 6 times, resulting in a remainder of 404.
Put 6 as the next digit of the answer. 
Result so far: 53663.756
If we take 3846 away from 4250, we end up with 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

On to step 12:
641 goes into 4040 6 times with a remainder of 194.
The next digit of our result is 6. 
Result so far: 53663.7566
If we take 3846 away from 4040, we end up with 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

In conclusion, the division gives 53663.7566 with a balance of 0.00194.