96633627 ÷ 949 
Our goal is to divide 96633627 by 949.

Step 1:
9 divided by 949 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 949

Step 2:
When dividing 96 by 949, we get 0 with a remainder of 96.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 96 to get 96.
Grab the next digit (6) from the dividend, add it to 96, then carry on: 966 / 949

Going ahead to step 3:
949 can be fit into 966 1 times, resulting in a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 949 from 966 leaves us with 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 949

Going ahead to step 4:
When dividing 173 by 949, we get 0 with a remainder of 173.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 173 leaves us with 173.
Include the next digit (3) from the dividend after 173, then repeat: 1733 / 949

On to step 5:
If we divide 1733 by 949, we get 1 and a remainder of 784.
The next digit of our result is 1. 
Result so far: 101.0
If we take 949 away from 1733, we end up with 784.
Fetch the next digit (6) from the dividend, attach it to 784 and continue: 7846 / 949

Let's proceed to step 6:
The number 949 fits into 7846 8 times, leaving a remainder of 254.
Write down 8 as next digit of the result. 
Result so far: 1018.0
Subtracting 7592 from 7846 leaves us with 254.
Append the next digit (2) from the dividend to 254 and continue with: 2542 / 949

Let's proceed to step 7:
The number 949 fits into 2542 2 times, leaving a remainder of 644.
Use 2 as the next digit of our solution. 
Result so far: 10182.0
If we take 1898 away from 2542, we end up with 644.
Take the next digit (7) from the dividend and append it to 644, then repeat: 6447 / 949

Step 8:
949 goes into 6447 6 times with a remainder of 753.
The next digit of our result is 6. 
Result so far: 101826.0
If we take 5694 away from 6447, we end up with 753.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7530, and continue the process.

On to step 9:
949 goes into 7530 7 times with a remainder of 887.
Record the quotient 7 as the next digit in the result. 
Result so far: 101826.7
If we subtract 6643 from 7530, we get 887.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8870, and continue the process.

Going ahead to step 10:
The number 949 fits into 8870 9 times, leaving a remainder of 329.
The number 9 becomes the next digit in our result. 
Result so far: 101826.79
Deduct 8541 from 8870 and we're left with 329.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3290, and continue the process.

Advancing to step 11:
If we divide 3290 by 949, we get 3 and a remainder of 443.
Put 3 as the next digit of the answer. 
Result so far: 101826.793
If we take 2847 away from 3290, we end up with 443.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4430, and continue the process.

Moving on to step 12:
949 can be fit into 4430 4 times, resulting in a remainder of 634.
Use 4 as the next digit of our solution. 
Result so far: 101826.7934
The remainder is 634 after subtracting 3796 from 4430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6340, and continue the process.

Let's proceed to step 13:
949 goes into 6340 6 times with a remainder of 646.
Write down 6 as next digit of the result. 
Result so far: 101826.79346
Deduct 5694 from 6340 and we're left with 646.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6460, and continue the process.

Let's proceed to step 14:
949 can be fit into 6460 6 times, resulting in a remainder of 766.
Use 6 as the next digit of our solution. 
Result so far: 101826.793466
Subtract 5694 from 6460 to get 766.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7660, and continue the process.

After the division, we end up with 101826.793466 and a remainder of 7.66e-05.