95377923 ÷ 803 
We want to figure out the number of times 95377923 can be divided by 803.

Step 1:
When dividing 9 by 803, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 803

Advancing to step 2:
95 divided by 803 is 0 with a remainder of 95.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 95, we get 95.
Bring next digit (3) of the dividend behind the 95 and repeat the process: 953 / 803

On to step 3:
When dividing 953 by 803, we get 1 with a remainder of 150.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 803 from 953, we get 150.
Bring next digit (7) of the dividend behind the 150 and repeat the process: 1507 / 803

Let's proceed to step 4:
803 goes into 1507 1 times with a remainder of 704.
The next digit of our result is 1. 
Result so far: 11.0
Subtract 803 from 1507 to get 704.
Append the next digit (7) from the dividend to 704 and continue with: 7047 / 803

Step 5:
The number 803 fits into 7047 8 times, leaving a remainder of 623.
Use 8 as the next digit of our solution. 
Result so far: 118.0
Subtracting 6424 from 7047 leaves us with 623.
Fetch the next digit (9) from the dividend, attach it to 623 and continue: 6239 / 803

Step 6:
6239 divided by 803 is 7 with a remainder of 618.
Put 7 as the next digit of the answer. 
Result so far: 1187.0
The remainder is 618 after subtracting 5621 from 6239.
Take the next digit (2) from the dividend and append it to 618, then repeat: 6182 / 803

Let's proceed to step 7:
803 can be fit into 6182 7 times, resulting in a remainder of 561.
Use 7 as the next digit of our solution. 
Result so far: 11877.0
Subtracting 5621 from 6182 leaves us with 561.
Fetch the next digit (3) from the dividend, attach it to 561 and continue: 5613 / 803

Going ahead to step 8:
803 can be fit into 5613 6 times, resulting in a remainder of 795.
Record the quotient 6 as the next digit in the result. 
Result so far: 118776.0
Subtracting 4818 from 5613 leaves us with 795.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7950, and continue the process.

On to step 9:
When dividing 7950 by 803, we get 9 with a remainder of 723.
Put 9 as the next digit of the answer. 
Result so far: 118776.9
Deduct 7227 from 7950 and we're left with 723.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7230, and continue the process.

Step 10:
7230 divided by 803 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 118776.99
If we take 7227 away from 7230, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 118776.99, and the remainder is 0.003.