We look at the division of 34971975 by 580 
We're looking to find how many times 580 goes into 34971975.

Moving on to step 1:
If we divide 3 by 580, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 580

Advancing to step 2:
34 divided by 580 is 0 with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Include the next digit (9) from the dividend after 34, then repeat: 349 / 580

Let's proceed to step 3:
580 can be fit into 349 0 times, resulting in a remainder of 349.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 349 and we're left with 349.
Include the next digit (7) from the dividend after 349, then repeat: 3497 / 580

Moving on to step 4:
When dividing 3497 by 580, we get 6 with a remainder of 17.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 3480 from 3497, we get 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 580

Moving on to step 5:
171 divided by 580 is 0 with a remainder of 171.
Write down 0 as next digit of the result. 
Result so far: 60.0
If we take 0 away from 171, we end up with 171.
Fetch the next digit (9) from the dividend, attach it to 171 and continue: 1719 / 580

Going ahead to step 6:
1719 divided by 580 is 2 with a remainder of 559.
Record the quotient 2 as the next digit in the result. 
Result so far: 602.0
The remainder is 559 after subtracting 1160 from 1719.
Take the next digit (7) from the dividend and append it to 559, then repeat: 5597 / 580

Advancing to step 7:
580 goes into 5597 9 times with a remainder of 377.
Use 9 as the next digit of our solution. 
Result so far: 6029.0
Subtract 5220 from 5597 to get 377.
Take the next digit (5) from the dividend and append it to 377, then repeat: 3775 / 580

Let's proceed to step 8:
580 goes into 3775 6 times with a remainder of 295.
Write down 6 as next digit of the result. 
Result so far: 60296.0
Subtracting 3480 from 3775 leaves us with 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

On to step 9:
2950 divided by 580 is 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 60296.5
Subtract 2900 from 2950 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
When dividing 500 by 580, we get 0 with a remainder of 500.
The next digit of our result is 0. 
Result so far: 60296.5
If we take 0 away from 500, we end up with 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Let's proceed to step 11:
When dividing 5000 by 580, we get 8 with a remainder of 360.
Record the quotient 8 as the next digit in the result. 
Result so far: 60296.508
Subtracting 4640 from 5000 leaves us with 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Let's proceed to step 12:
580 goes into 3600 6 times with a remainder of 120.
Use 6 as the next digit of our solution. 
Result so far: 60296.5086
If we subtract 3480 from 3600, we get 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Let's proceed to step 13:
580 goes into 1200 2 times with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 60296.50862
If we subtract 1160 from 1200, we 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.

Step 14:
580 can be fit into 400 0 times, resulting in a remainder of 400.
Record the quotient 0 as the next digit in the result. 
Result so far: 60296.50862
The remainder is 400 after subtracting 0 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Step 15:
The number 580 fits into 4000 6 times, leaving a remainder of 520.
The next digit of our result is 6. 
Result so far: 60296.5086206
If we subtract 3480 from 4000, we get 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Going ahead to step 16:
580 goes into 5200 8 times with a remainder of 560.
Use 8 as the next digit of our solution. 
Result so far: 60296.50862068
Deduct 4640 from 5200 and we're left with 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

In conclusion, the division gives 60296.50862068 with a balance of 5.6e-07.