61097116 ÷ 523 
We want to figure out the number of times 61097116 can be divided by 523.

Let's proceed to step 1:
6 divided by 523 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 523

Step 2:
523 can be fit into 61 0 times, resulting in a remainder of 61.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 61 and we're left with 61.
Grab the next digit (0) from the dividend, add it to 61, then carry on: 610 / 523

Step 3:
If we divide 610 by 523, we get 1 and a remainder of 87.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 523 from 610 and we're left with 87.
Append the next digit (9) from the dividend to 87 and continue with: 879 / 523

Moving on to step 4:
523 can be fit into 879 1 times, resulting in a remainder of 356.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 356 after subtracting 523 from 879.
Bring next digit (7) of the dividend behind the 356 and repeat the process: 3567 / 523

Step 5:
The number 523 fits into 3567 6 times, leaving a remainder of 429.
The number 6 becomes the next digit in our result. 
Result so far: 116.0
The remainder is 429 after subtracting 3138 from 3567.
Append the next digit (1) from the dividend to 429 and continue with: 4291 / 523

Step 6:
523 can be fit into 4291 8 times, resulting in a remainder of 107.
Write down 8 as next digit of the result. 
Result so far: 1168.0
Subtract 4184 from 4291 to get 107.
Fetch the next digit (1) from the dividend, attach it to 107 and continue: 1071 / 523

Moving on to step 7:
If we divide 1071 by 523, we get 2 and a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 11682.0
Deduct 1046 from 1071 and we're left with 25.
Include the next digit (6) from the dividend after 25, then repeat: 256 / 523

Moving on to step 8:
If we divide 256 by 523, we get 0 and a remainder of 256.
Record the quotient 0 as the next digit in the result. 
Result so far: 116820.0
Subtracting 0 from 256 leaves us with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Going ahead to step 9:
2560 divided by 523 is 4 with a remainder of 468.
Put 4 as the next digit of the answer. 
Result so far: 116820.4
Subtract 2092 from 2560 to get 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Step 10:
If we divide 4680 by 523, we get 8 and a remainder of 496.
Write down 8 as next digit of the result. 
Result so far: 116820.48
If we subtract 4184 from 4680, we get 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

On to step 11:
4960 divided by 523 is 9 with a remainder of 253.
Use 9 as the next digit of our solution. 
Result so far: 116820.489
If we take 4707 away from 4960, we end up with 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Let's proceed to step 12:
If we divide 2530 by 523, we get 4 and a remainder of 438.
The number 4 becomes the next digit in our result. 
Result so far: 116820.4894
Subtract 2092 from 2530 to get 438.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4380, and continue the process.

Let's proceed to step 13:
523 can be fit into 4380 8 times, resulting in a remainder of 196.
The number 8 becomes the next digit in our result. 
Result so far: 116820.48948
The remainder is 196 after subtracting 4184 from 4380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Let's proceed to step 14:
The number 523 fits into 1960 3 times, leaving a remainder of 391.
Put 3 as the next digit of the answer. 
Result so far: 116820.489483
Deduct 1569 from 1960 and we're left with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

On to step 15:
If we divide 3910 by 523, we get 7 and a remainder of 249.
The next digit of our result is 7. 
Result so far: 116820.4894837
Subtract 3661 from 3910 to get 249.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2490, and continue the process.

Moving on to step 16:
If we divide 2490 by 523, we get 4 and a remainder of 398.
Record the quotient 4 as the next digit in the result. 
Result so far: 116820.48948374
If we subtract 2092 from 2490, we get 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

In conclusion, the division gives 116820.48948374 with a balance of 3.98e-07.