We look at the division of 3770755 by 953 
We want to divide 3770755 by 953.

On to step 1:
3 divided by 953 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 953

Step 2:
The number 953 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Append the next digit (7) from the dividend to 37 and continue with: 377 / 953

Let's proceed to step 3:
953 can be fit into 377 0 times, resulting in a remainder of 377.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 377 to get 377.
Grab the next digit (0) from the dividend, add it to 377, then carry on: 3770 / 953

Moving on to step 4:
The number 953 fits into 3770 3 times, leaving a remainder of 911.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 2859 from 3770 leaves us with 911.
Fetch the next digit (7) from the dividend, attach it to 911 and continue: 9117 / 953

On to step 5:
953 can be fit into 9117 9 times, resulting in a remainder of 540.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
If we take 8577 away from 9117, we end up with 540.
Fetch the next digit (5) from the dividend, attach it to 540 and continue: 5405 / 953

Let's proceed to step 6:
The number 953 fits into 5405 5 times, leaving a remainder of 640.
The number 5 becomes the next digit in our result. 
Result so far: 395.0
Subtract 4765 from 5405 to get 640.
Include the next digit (5) from the dividend after 640, then repeat: 6405 / 953

Let's proceed to step 7:
When dividing 6405 by 953, we get 6 with a remainder of 687.
The next digit of our result is 6. 
Result so far: 3956.0
Subtract 5718 from 6405 to get 687.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6870, and continue the process.

Moving on to step 8:
When dividing 6870 by 953, we get 7 with a remainder of 199.
Use 7 as the next digit of our solution. 
Result so far: 3956.7
Deduct 6671 from 6870 and we're left with 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Let's proceed to step 9:
953 can be fit into 1990 2 times, resulting in a remainder of 84.
Put 2 as the next digit of the answer. 
Result so far: 3956.72
Deduct 1906 from 1990 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 10:
953 goes into 840 0 times with a remainder of 840.
Write down 0 as next digit of the result. 
Result so far: 3956.72
If we take 0 away from 840, we end up with 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8400, and continue the process.

On to step 11:
When dividing 8400 by 953, we get 8 with a remainder of 776.
Record the quotient 8 as the next digit in the result. 
Result so far: 3956.7208
If we take 7624 away from 8400, we end up with 776.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7760, and continue the process.

Moving on to step 12:
7760 divided by 953 is 8 with a remainder of 136.
Use 8 as the next digit of our solution. 
Result so far: 3956.72088
Subtract 7624 from 7760 to get 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

The quotient of the division is 3956.72088, and the remainder is 0.000136.