We look at the division of 35419073 by 577 
We want to divide 35419073 by 577.

Step 1:
3 divided by 577 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 577

Advancing to step 2:
577 can be fit into 35 0 times, resulting in a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Append the next digit (4) from the dividend to 35 and continue with: 354 / 577

On to step 3:
577 can be fit into 354 0 times, resulting in a remainder of 354.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 354 and we're left with 354.
Append the next digit (1) from the dividend to 354 and continue with: 3541 / 577

Step 4:
If we divide 3541 by 577, we get 6 and a remainder of 79.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 3462 from 3541 and we're left with 79.
Append the next digit (9) from the dividend to 79 and continue with: 799 / 577

Advancing to step 5:
If we divide 799 by 577, we get 1 and a remainder of 222.
The next digit of our result is 1. 
Result so far: 61.0
Subtract 577 from 799 to get 222.
Include the next digit (0) from the dividend after 222, then repeat: 2220 / 577

Let's proceed to step 6:
2220 divided by 577 is 3 with a remainder of 489.
The next digit of our result is 3. 
Result so far: 613.0
Subtracting 1731 from 2220 leaves us with 489.
Bring next digit (7) of the dividend behind the 489 and repeat the process: 4897 / 577

Step 7:
The number 577 fits into 4897 8 times, leaving a remainder of 281.
Use 8 as the next digit of our solution. 
Result so far: 6138.0
If we subtract 4616 from 4897, we get 281.
Bring next digit (3) of the dividend behind the 281 and repeat the process: 2813 / 577

On to step 8:
If we divide 2813 by 577, we get 4 and a remainder of 505.
The number 4 becomes the next digit in our result. 
Result so far: 61384.0
If we subtract 2308 from 2813, we get 505.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5050, and continue the process.

Let's proceed to step 9:
The number 577 fits into 5050 8 times, leaving a remainder of 434.
The next digit of our result is 8. 
Result so far: 61384.8
If we take 4616 away from 5050, we end up with 434.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4340, and continue the process.

Let's proceed to step 10:
The number 577 fits into 4340 7 times, leaving a remainder of 301.
Use 7 as the next digit of our solution. 
Result so far: 61384.87
If we subtract 4039 from 4340, we get 301.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3010, and continue the process.

Let's proceed to step 11:
577 goes into 3010 5 times with a remainder of 125.
Write down 5 as next digit of the result. 
Result so far: 61384.875
Subtract 2885 from 3010 to get 125.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Moving on to step 12:
If we divide 1250 by 577, we get 2 and a remainder of 96.
Record the quotient 2 as the next digit in the result. 
Result so far: 61384.8752
Deduct 1154 from 1250 and we're left with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Moving on to step 13:
When dividing 960 by 577, we get 1 with a remainder of 383.
Use 1 as the next digit of our solution. 
Result so far: 61384.87521
The remainder is 383 after subtracting 577 from 960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3830, and continue the process.

Going ahead to step 14:
577 goes into 3830 6 times with a remainder of 368.
The next digit of our result is 6. 
Result so far: 61384.875216
If we take 3462 away from 3830, we end up with 368.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3680, and continue the process.

On to step 15:
577 can be fit into 3680 6 times, resulting in a remainder of 218.
Record the quotient 6 as the next digit in the result. 
Result so far: 61384.8752166
If we subtract 3462 from 3680, we get 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

In conclusion, the division gives 61384.8752166 with a balance of 2.18e-06.