We divide 541526 by 97
We want to figure out the number of times 541526 can be divided by 97.

Advancing to step 1:
If we divide 5 by 97, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 97

Let's proceed to step 2:
The number 97 fits into 54 0 times, leaving a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 54 leaves us with 54.
Bring next digit (1) of the dividend behind the 54 and repeat the process: 541 / 97

Step 3:
When dividing 541 by 97, we get 5 with a remainder of 56.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 485 from 541 to get 56.
Grab the next digit (5) from the dividend, add it to 56, then carry on: 565 / 97

Moving on to step 4:
The number 97 fits into 565 5 times, leaving a remainder of 80.
Write down 5 as next digit of the result. 
Result so far: 55.0
If we take 485 away from 565, we end up with 80.
Include the next digit (2) from the dividend after 80, then repeat: 802 / 97

Let's proceed to step 5:
If we divide 802 by 97, we get 8 and a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 558.0
Deduct 776 from 802 and we're left with 26.
Fetch the next digit (6) from the dividend, attach it to 26 and continue: 266 / 97

Step 6:
266 divided by 97 is 2 with a remainder of 72.
Write down 2 as next digit of the result. 
Result so far: 5582.0
Subtract 194 from 266 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 7:
97 goes into 720 7 times with a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 5582.7
Deduct 679 from 720 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 8:
97 can be fit into 410 4 times, resulting in a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 5582.74
If we take 388 away from 410, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
97 goes into 220 2 times with a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 5582.742
The remainder is 26 after subtracting 194 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 10:
If we divide 260 by 97, we get 2 and a remainder of 66.
The number 2 becomes the next digit in our result. 
Result so far: 5582.7422
Subtracting 194 from 260 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The quotient of the division is 5582.7422, and the remainder is 0.00066.