We look at the division of 626289 by 97 
Let's see how many times 97 fits into 626289.

Step 1:
The number 97 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 97

On to step 2:
If we divide 62 by 97, we get 0 and a remainder of 62.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 62 leaves us with 62.
Grab the next digit (6) from the dividend, add it to 62, then carry on: 626 / 97

Going ahead to step 3:
If we divide 626 by 97, we get 6 and a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 582 from 626 and we're left with 44.
Append the next digit (2) from the dividend to 44 and continue with: 442 / 97

Step 4:
The number 97 fits into 442 4 times, leaving a remainder of 54.
Write down 4 as next digit of the result. 
Result so far: 64.0
Deduct 388 from 442 and we're left with 54.
Include the next digit (8) from the dividend after 54, then repeat: 548 / 97

Advancing to step 5:
When dividing 548 by 97, we get 5 with a remainder of 63.
The next digit of our result is 5. 
Result so far: 645.0
The remainder is 63 after subtracting 485 from 548.
Include the next digit (9) from the dividend after 63, then repeat: 639 / 97

Step 6:
The number 97 fits into 639 6 times, leaving a remainder of 57.
The number 6 becomes the next digit in our result. 
Result so far: 6456.0
Subtract 582 from 639 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 7:
97 can be fit into 570 5 times, resulting in a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 6456.5
Subtract 485 from 570 to get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

On to step 8:
If we divide 850 by 97, we get 8 and a remainder of 74.
The next digit of our result is 8. 
Result so far: 6456.58
If we take 776 away from 850, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 9:
When dividing 740 by 97, we get 7 with a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 6456.587
If we subtract 679 from 740, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 10:
97 goes into 610 6 times with a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 6456.5876
Subtract 582 from 610 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
The number 97 fits into 280 2 times, leaving a remainder of 86.
The number 2 becomes the next digit in our result. 
Result so far: 6456.58762
Deduct 194 from 280 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

On to step 12:
When dividing 860 by 97, we get 8 with a remainder of 84.
Record the quotient 8 as the next digit in the result. 
Result so far: 6456.587628
The remainder is 84 after subtracting 776 from 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 13:
If we divide 840 by 97, we get 8 and a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 6456.5876288
Subtract 776 from 840 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final outcome is 6456.5876288, with a leftover of 6.4e-07.