5210025 ÷ 971 
We want to divide 5210025 by 971.

Advancing to step 1:
When dividing 5 by 971, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 971

Moving on to step 2:
971 can be fit into 52 0 times, resulting in a remainder of 52.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 52, we end up with 52.
Bring next digit (1) of the dividend behind the 52 and repeat the process: 521 / 971

Going ahead to step 3:
The number 971 fits into 521 0 times, leaving a remainder of 521.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 521 after subtracting 0 from 521.
Append the next digit (0) from the dividend to 521 and continue with: 5210 / 971

Advancing to step 4:
971 goes into 5210 5 times with a remainder of 355.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 4855 from 5210 to get 355.
Bring next digit (0) of the dividend behind the 355 and repeat the process: 3550 / 971

On to step 5:
If we divide 3550 by 971, we get 3 and a remainder of 637.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
Subtract 2913 from 3550 to get 637.
Fetch the next digit (2) from the dividend, attach it to 637 and continue: 6372 / 971

On to step 6:
6372 divided by 971 is 6 with a remainder of 546.
The next digit of our result is 6. 
Result so far: 536.0
If we subtract 5826 from 6372, we get 546.
Fetch the next digit (5) from the dividend, attach it to 546 and continue: 5465 / 971

Advancing to step 7:
971 can be fit into 5465 5 times, resulting in a remainder of 610.
Record the quotient 5 as the next digit in the result. 
Result so far: 5365.0
If we take 4855 away from 5465, we end up with 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6100, and continue the process.

Let's proceed to step 8:
When dividing 6100 by 971, we get 6 with a remainder of 274.
The next digit of our result is 6. 
Result so far: 5365.6
Subtract 5826 from 6100 to get 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

Going ahead to step 9:
The number 971 fits into 2740 2 times, leaving a remainder of 798.
Use 2 as the next digit of our solution. 
Result so far: 5365.62
If we take 1942 away from 2740, we end up with 798.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7980, and continue the process.

Step 10:
971 goes into 7980 8 times with a remainder of 212.
Write down 8 as next digit of the result. 
Result so far: 5365.628
If we subtract 7768 from 7980, we get 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Going ahead to step 11:
If we divide 2120 by 971, we get 2 and a remainder of 178.
Record the quotient 2 as the next digit in the result. 
Result so far: 5365.6282
The remainder is 178 after subtracting 1942 from 2120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Let's proceed to step 12:
The number 971 fits into 1780 1 times, leaving a remainder of 809.
Put 1 as the next digit of the answer. 
Result so far: 5365.62821
Deduct 971 from 1780 and we're left with 809.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8090, and continue the process.

Let's proceed to step 13:
971 goes into 8090 8 times with a remainder of 322.
Use 8 as the next digit of our solution. 
Result so far: 5365.628218
Subtract 7768 from 8090 to get 322.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Moving on to step 14:
If we divide 3220 by 971, we get 3 and a remainder of 307.
The number 3 becomes the next digit in our result. 
Result so far: 5365.6282183
If we subtract 2913 from 3220, we get 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3070, and continue the process.

Going ahead to step 15:
The number 971 fits into 3070 3 times, leaving a remainder of 157.
Record the quotient 3 as the next digit in the result. 
Result so far: 5365.62821833
Subtract 2913 from 3070 to get 157.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1570, and continue the process.

The final outcome is 5365.62821833, with a leftover of 1.57e-07.