We look at the division of 971777 by 35 
We're looking to find how many times 35 goes into 971777.

Moving on to step 1:
When dividing 9 by 35, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 35

Moving on to step 2:
97 divided by 35 is 2 with a remainder of 27.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 70 from 97 to get 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 35

On to step 3:
When dividing 271 by 35, we get 7 with a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 27.0
Deduct 245 from 271 and we're left with 26.
Append the next digit (7) from the dividend to 26 and continue with: 267 / 35

Advancing to step 4:
If we divide 267 by 35, we get 7 and a remainder of 22.
Record the quotient 7 as the next digit in the result. 
Result so far: 277.0
Subtracting 245 from 267 leaves us with 22.
Append the next digit (7) from the dividend to 22 and continue with: 227 / 35

Step 5:
227 divided by 35 is 6 with a remainder of 17.
Use 6 as the next digit of our solution. 
Result so far: 2776.0
Deduct 210 from 227 and we're left with 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 35

On to step 6:
When dividing 177 by 35, we get 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 27765.0
If we take 175 away from 177, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
The number 35 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 27765.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
35 can be fit into 200 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 27765.05
Subtract 175 from 200 to 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.

Moving on to step 9:
If we divide 250 by 35, we get 7 and a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 27765.057
Subtract 245 from 250 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
If we divide 50 by 35, we get 1 and a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 27765.0571
Subtract 35 from 50 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 11:
150 divided by 35 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 27765.05714
If we take 140 away from 150, we end up with 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 12:
When dividing 100 by 35, we get 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 27765.057142
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 27765.0571428
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
200 divided by 35 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 27765.05714285
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 27765.05714285 with a balance of 2.5e-08.