61142169 ÷ 766 
We want to figure out the number of times 61142169 can be divided by 766.

Let's proceed to step 1:
If we divide 6 by 766, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 766

On to step 2:
When dividing 61 by 766, we get 0 with a remainder of 61.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 61 leaves us with 61.
Take the next digit (1) from the dividend and append it to 61, then repeat: 611 / 766

Going ahead to step 3:
The number 766 fits into 611 0 times, leaving a remainder of 611.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 611, we end up with 611.
Append the next digit (4) from the dividend to 611 and continue with: 6114 / 766

Moving on to step 4:
6114 divided by 766 is 7 with a remainder of 752.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 752 after subtracting 5362 from 6114.
Bring next digit (2) of the dividend behind the 752 and repeat the process: 7522 / 766

Moving on to step 5:
The number 766 fits into 7522 9 times, leaving a remainder of 628.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
Deduct 6894 from 7522 and we're left with 628.
Append the next digit (1) from the dividend to 628 and continue with: 6281 / 766

Step 6:
766 goes into 6281 8 times with a remainder of 153.
The number 8 becomes the next digit in our result. 
Result so far: 798.0
If we take 6128 away from 6281, we end up with 153.
Take the next digit (6) from the dividend and append it to 153, then repeat: 1536 / 766

On to step 7:
When dividing 1536 by 766, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 7982.0
Subtracting 1532 from 1536 leaves us with 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 766

Moving on to step 8:
766 can be fit into 49 0 times, resulting in a remainder of 49.
Put 0 as the next digit of the answer. 
Result so far: 79820.0
Subtract 0 from 49 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 9:
766 goes into 490 0 times with a remainder of 490.
Record the quotient 0 as the next digit in the result. 
Result so far: 79820.0
Subtract 0 from 490 to get 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

Going ahead to step 10:
If we divide 4900 by 766, we get 6 and a remainder of 304.
Record the quotient 6 as the next digit in the result. 
Result so far: 79820.06
Subtracting 4596 from 4900 leaves us with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Going ahead to step 11:
The number 766 fits into 3040 3 times, leaving a remainder of 742.
Write down 3 as next digit of the result. 
Result so far: 79820.063
Subtracting 2298 from 3040 leaves us with 742.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7420, and continue the process.

Advancing to step 12:
When dividing 7420 by 766, we get 9 with a remainder of 526.
The number 9 becomes the next digit in our result. 
Result so far: 79820.0639
Deduct 6894 from 7420 and we're left with 526.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5260, and continue the process.

Step 13:
766 can be fit into 5260 6 times, resulting in a remainder of 664.
The number 6 becomes the next digit in our result. 
Result so far: 79820.06396
If we subtract 4596 from 5260, we get 664.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6640, and continue the process.

Going ahead to step 14:
6640 divided by 766 is 8 with a remainder of 512.
The next digit of our result is 8. 
Result so far: 79820.063968
Deduct 6128 from 6640 and we're left with 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

Step 15:
766 can be fit into 5120 6 times, resulting in a remainder of 524.
The number 6 becomes the next digit in our result. 
Result so far: 79820.0639686
If we subtract 4596 from 5120, we get 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Going ahead to step 16:
5240 divided by 766 is 6 with a remainder of 644.
Put 6 as the next digit of the answer. 
Result so far: 79820.06396866
The remainder is 644 after subtracting 4596 from 5240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6440, and continue the process.

Our division results in 79820.06396866 with a remaining 6.44e-07.