25983019 ÷ 971 
Our goal is to divide 25983019 by 971.

Advancing to step 1:
971 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 971

Step 2:
The number 971 fits into 25 0 times, leaving a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Grab the next digit (9) from the dividend, add it to 25, then carry on: 259 / 971

Let's proceed to step 3:
If we divide 259 by 971, we get 0 and a remainder of 259.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 259, we end up with 259.
Bring next digit (8) of the dividend behind the 259 and repeat the process: 2598 / 971

Let's proceed to step 4:
971 goes into 2598 2 times with a remainder of 656.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 1942 from 2598 and we're left with 656.
Take the next digit (3) from the dividend and append it to 656, then repeat: 6563 / 971

Going ahead to step 5:
If we divide 6563 by 971, we get 6 and a remainder of 737.
Use 6 as the next digit of our solution. 
Result so far: 26.0
If we take 5826 away from 6563, we end up with 737.
Grab the next digit (0) from the dividend, add it to 737, then carry on: 7370 / 971

Step 6:
971 goes into 7370 7 times with a remainder of 573.
The next digit of our result is 7. 
Result so far: 267.0
Subtracting 6797 from 7370 leaves us with 573.
Fetch the next digit (1) from the dividend, attach it to 573 and continue: 5731 / 971

Let's proceed to step 7:
5731 divided by 971 is 5 with a remainder of 876.
Put 5 as the next digit of the answer. 
Result so far: 2675.0
Subtracting 4855 from 5731 leaves us with 876.
Bring next digit (9) of the dividend behind the 876 and repeat the process: 8769 / 971

Moving on to step 8:
The number 971 fits into 8769 9 times, leaving a remainder of 30.
Write down 9 as next digit of the result. 
Result so far: 26759.0
Deduct 8739 from 8769 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
When dividing 300 by 971, we get 0 with a remainder of 300.
Put 0 as the next digit of the answer. 
Result so far: 26759.0
The remainder is 300 after subtracting 0 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Let's proceed to step 10:
The number 971 fits into 3000 3 times, leaving a remainder of 87.
Write down 3 as next digit of the result. 
Result so far: 26759.03
If we subtract 2913 from 3000, we get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Moving on to step 11:
971 can be fit into 870 0 times, resulting in a remainder of 870.
Use 0 as the next digit of our solution. 
Result so far: 26759.03
Subtracting 0 from 870 leaves us with 870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8700, and continue the process.

Moving on to step 12:
971 goes into 8700 8 times with a remainder of 932.
The next digit of our result is 8. 
Result so far: 26759.0308
Deduct 7768 from 8700 and we're left with 932.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9320, and continue the process.

Step 13:
9320 divided by 971 is 9 with a remainder of 581.
Write down 9 as next digit of the result. 
Result so far: 26759.03089
The remainder is 581 after subtracting 8739 from 9320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5810, and continue the process.

Let's proceed to step 14:
The number 971 fits into 5810 5 times, leaving a remainder of 955.
Put 5 as the next digit of the answer. 
Result so far: 26759.030895
If we subtract 4855 from 5810, we get 955.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9550, and continue the process.

Step 15:
If we divide 9550 by 971, we get 9 and a remainder of 811.
Put 9 as the next digit of the answer. 
Result so far: 26759.0308959
Deduct 8739 from 9550 and we're left with 811.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8110, and continue the process.

Step 16:
The number 971 fits into 8110 8 times, leaving a remainder of 342.
Record the quotient 8 as the next digit in the result. 
Result so far: 26759.03089598
Deduct 7768 from 8110 and we're left with 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

In conclusion, the division gives 26759.03089598 with a balance of 3.42e-07.