66578686 ÷ 597 
We want to divide 66578686 by 597.

On to step 1:
The number 597 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 597

Advancing to step 2:
597 can be fit into 66 0 times, resulting in a remainder of 66.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Bring next digit (5) of the dividend behind the 66 and repeat the process: 665 / 597

Let's proceed to step 3:
597 can be fit into 665 1 times, resulting in a remainder of 68.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 597 from 665 to get 68.
Fetch the next digit (7) from the dividend, attach it to 68 and continue: 687 / 597

Advancing to step 4:
597 goes into 687 1 times with a remainder of 90.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 90 after subtracting 597 from 687.
Take the next digit (8) from the dividend and append it to 90, then repeat: 908 / 597

Step 5:
The number 597 fits into 908 1 times, leaving a remainder of 311.
The number 1 becomes the next digit in our result. 
Result so far: 111.0
Subtracting 597 from 908 leaves us with 311.
Fetch the next digit (6) from the dividend, attach it to 311 and continue: 3116 / 597

On to step 6:
When dividing 3116 by 597, we get 5 with a remainder of 131.
Put 5 as the next digit of the answer. 
Result so far: 1115.0
If we take 2985 away from 3116, we end up with 131.
Grab the next digit (8) from the dividend, add it to 131, then carry on: 1318 / 597

Step 7:
597 goes into 1318 2 times with a remainder of 124.
Write down 2 as next digit of the result. 
Result so far: 11152.0
Subtracting 1194 from 1318 leaves us with 124.
Append the next digit (6) from the dividend to 124 and continue with: 1246 / 597

Let's proceed to step 8:
597 goes into 1246 2 times with a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 111522.0
Subtract 1194 from 1246 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 9:
The number 597 fits into 520 0 times, leaving a remainder of 520.
Put 0 as the next digit of the answer. 
Result so far: 111522.0
The remainder is 520 after subtracting 0 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Moving on to step 10:
When dividing 5200 by 597, we get 8 with a remainder of 424.
The number 8 becomes the next digit in our result. 
Result so far: 111522.08
If we take 4776 away from 5200, we end up with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

Advancing to step 11:
If we divide 4240 by 597, we get 7 and a remainder of 61.
The next digit of our result is 7. 
Result so far: 111522.087
Subtract 4179 from 4240 to 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 12:
597 can be fit into 610 1 times, resulting in a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 111522.0871
The remainder is 13 after subtracting 597 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 13:
130 divided by 597 is 0 with a remainder of 130.
The next digit of our result is 0. 
Result so far: 111522.0871
If we subtract 0 from 130, we get 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Advancing to step 14:
The number 597 fits into 1300 2 times, leaving a remainder of 106.
Use 2 as the next digit of our solution. 
Result so far: 111522.087102
If we subtract 1194 from 1300, we get 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Going ahead to step 15:
597 can be fit into 1060 1 times, resulting in a remainder of 463.
Put 1 as the next digit of the answer. 
Result so far: 111522.0871021
Subtract 597 from 1060 to get 463.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4630, and continue the process.

Moving on to step 16:
597 can be fit into 4630 7 times, resulting in a remainder of 451.
Put 7 as the next digit of the answer. 
Result so far: 111522.08710217
Deduct 4179 from 4630 and we're left with 451.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4510, and continue the process.

The final result is 111522.08710217 with a remainder of 4.51e-07.