6573642 divided by 971 
We're looking to find how many times 971 goes into 6573642.

Step 1:
971 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 971

Advancing to step 2:
971 can be fit into 65 0 times, resulting in a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Bring next digit (7) of the dividend behind the 65 and repeat the process: 657 / 971

Advancing to step 3:
If we divide 657 by 971, we get 0 and a remainder of 657.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 657 to get 657.
Include the next digit (3) from the dividend after 657, then repeat: 6573 / 971

Going ahead to step 4:
971 goes into 6573 6 times with a remainder of 747.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 5826 away from 6573, we end up with 747.
Include the next digit (6) from the dividend after 747, then repeat: 7476 / 971

Moving on to step 5:
The number 971 fits into 7476 7 times, leaving a remainder of 679.
The next digit of our result is 7. 
Result so far: 67.0
Deduct 6797 from 7476 and we're left with 679.
Append the next digit (4) from the dividend to 679 and continue with: 6794 / 971

Advancing to step 6:
If we divide 6794 by 971, we get 6 and a remainder of 968.
Use 6 as the next digit of our solution. 
Result so far: 676.0
If we take 5826 away from 6794, we end up with 968.
Grab the next digit (2) from the dividend, add it to 968, then carry on: 9682 / 971

On to step 7:
When dividing 9682 by 971, we get 9 with a remainder of 943.
Use 9 as the next digit of our solution. 
Result so far: 6769.0
Subtract 8739 from 9682 to get 943.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9430, and continue the process.

Moving on to step 8:
971 can be fit into 9430 9 times, resulting in a remainder of 691.
The next digit of our result is 9. 
Result so far: 6769.9
If we subtract 8739 from 9430, we get 691.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6910, and continue the process.

Moving on to step 9:
6910 divided by 971 is 7 with a remainder of 113.
Write down 7 as next digit of the result. 
Result so far: 6769.97
The remainder is 113 after subtracting 6797 from 6910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1130, and continue the process.

Let's proceed to step 10:
If we divide 1130 by 971, we get 1 and a remainder of 159.
Put 1 as the next digit of the answer. 
Result so far: 6769.971
Deduct 971 from 1130 and we're left with 159.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1590, and continue the process.

Going ahead to step 11:
The number 971 fits into 1590 1 times, leaving a remainder of 619.
Put 1 as the next digit of the answer. 
Result so far: 6769.9711
If we subtract 971 from 1590, we get 619.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6190, and continue the process.

After the division, we end up with 6769.9711 and a remainder of 0.00619.