We're dividing 37765135 by 553 
We want to divide 37765135 by 553.

Advancing to step 1:
The number 553 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 553

Let's proceed to step 2:
The number 553 fits into 37 0 times, leaving a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Grab the next digit (7) from the dividend, add it to 37, then carry on: 377 / 553

Going ahead to step 3:
553 goes into 377 0 times with a remainder of 377.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 377 after subtracting 0 from 377.
Take the next digit (6) from the dividend and append it to 377, then repeat: 3776 / 553

On to step 4:
3776 divided by 553 is 6 with a remainder of 458.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 3318 from 3776 and we're left with 458.
Bring next digit (5) of the dividend behind the 458 and repeat the process: 4585 / 553

Step 5:
If we divide 4585 by 553, we get 8 and a remainder of 161.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
If we subtract 4424 from 4585, we get 161.
Include the next digit (1) from the dividend after 161, then repeat: 1611 / 553

Moving on to step 6:
If we divide 1611 by 553, we get 2 and a remainder of 505.
The number 2 becomes the next digit in our result. 
Result so far: 682.0
Subtracting 1106 from 1611 leaves us with 505.
Take the next digit (3) from the dividend and append it to 505, then repeat: 5053 / 553

Advancing to step 7:
When dividing 5053 by 553, we get 9 with a remainder of 76.
The next digit of our result is 9. 
Result so far: 6829.0
Subtracting 4977 from 5053 leaves us with 76.
Include the next digit (5) from the dividend after 76, then repeat: 765 / 553

Step 8:
If we divide 765 by 553, we get 1 and a remainder of 212.
The number 1 becomes the next digit in our result. 
Result so far: 68291.0
Subtract 553 from 765 to get 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

On to step 9:
553 can be fit into 2120 3 times, resulting in a remainder of 461.
The next digit of our result is 3. 
Result so far: 68291.3
Subtract 1659 from 2120 to get 461.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4610, and continue the process.

Going ahead to step 10:
553 goes into 4610 8 times with a remainder of 186.
Write down 8 as next digit of the result. 
Result so far: 68291.38
Subtracting 4424 from 4610 leaves us with 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

Moving on to step 11:
1860 divided by 553 is 3 with a remainder of 201.
The number 3 becomes the next digit in our result. 
Result so far: 68291.383
Subtracting 1659 from 1860 leaves us with 201.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2010, and continue the process.

Moving on to step 12:
If we divide 2010 by 553, we get 3 and a remainder of 351.
The next digit of our result is 3. 
Result so far: 68291.3833
If we subtract 1659 from 2010, we get 351.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3510, and continue the process.

The quotient of the division is 68291.3833, and the remainder is 0.00351.