971634 ÷ 39 
Our goal is to divide 971634 by 39.

Advancing to step 1:
If we divide 9 by 39, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 39

On to step 2:
When dividing 97 by 39, we get 2 with a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 78 from 97 to get 19.
Bring next digit (1) of the dividend behind the 19 and repeat the process: 191 / 39

Advancing to step 3:
191 divided by 39 is 4 with a remainder of 35.
Put 4 as the next digit of the answer. 
Result so far: 24.0
Subtract 156 from 191 to get 35.
Bring next digit (6) of the dividend behind the 35 and repeat the process: 356 / 39

On to step 4:
356 divided by 39 is 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 249.0
If we take 351 away from 356, we end up with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 39

Moving on to step 5:
53 divided by 39 is 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 2491.0
Subtract 39 from 53 to get 14.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 39

On to step 6:
39 can be fit into 144 3 times, resulting in a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 24913.0
The remainder is 27 after subtracting 117 from 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 7:
270 divided by 39 is 6 with a remainder of 36.
Use 6 as the next digit of our solution. 
Result so far: 24913.6
Subtracting 234 from 270 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 8:
The number 39 fits into 360 9 times, leaving a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 24913.69
The remainder is 9 after subtracting 351 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
If we divide 90 by 39, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 24913.692
Subtract 78 from 90 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.

Going ahead to step 10:
120 divided by 39 is 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 24913.6923
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
30 divided by 39 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 24913.6923
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
When dividing 300 by 39, we get 7 with a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 24913.692307
Deduct 273 from 300 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 13:
39 goes into 270 6 times with a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 24913.6923076
Subtract 234 from 270 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 14:
If we divide 360 by 39, we get 9 and a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 24913.69230769
If we subtract 351 from 360, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 24913.69230769 with a balance of 9e-09.