We're dividing 7533646 by 949 
Our goal is to divide 7533646 by 949.

Let's proceed to step 1:
When dividing 7 by 949, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 949

Going ahead to step 2:
949 goes into 75 0 times with a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Bring next digit (3) of the dividend behind the 75 and repeat the process: 753 / 949

Step 3:
753 divided by 949 is 0 with a remainder of 753.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 753, we end up with 753.
Take the next digit (3) from the dividend and append it to 753, then repeat: 7533 / 949

Let's proceed to step 4:
949 goes into 7533 7 times with a remainder of 890.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 6643 from 7533, we get 890.
Include the next digit (6) from the dividend after 890, then repeat: 8906 / 949

Moving on to step 5:
When dividing 8906 by 949, we get 9 with a remainder of 365.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
Deduct 8541 from 8906 and we're left with 365.
Include the next digit (4) from the dividend after 365, then repeat: 3654 / 949

Advancing to step 6:
3654 divided by 949 is 3 with a remainder of 807.
Put 3 as the next digit of the answer. 
Result so far: 793.0
Subtract 2847 from 3654 to get 807.
Append the next digit (6) from the dividend to 807 and continue with: 8076 / 949

Moving on to step 7:
949 goes into 8076 8 times with a remainder of 484.
Use 8 as the next digit of our solution. 
Result so far: 7938.0
Subtracting 7592 from 8076 leaves us with 484.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

Going ahead to step 8:
If we divide 4840 by 949, we get 5 and a remainder of 95.
Put 5 as the next digit of the answer. 
Result so far: 7938.5
If we subtract 4745 from 4840, we get 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

On to step 9:
The number 949 fits into 950 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 7938.51
Deduct 949 from 950 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
949 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7938.51
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
949 goes into 100 0 times with a remainder of 100.
The next digit of our result is 0. 
Result so far: 7938.51
The remainder is 100 after subtracting 0 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

After the division, we end up with 7938.51 and a remainder of 0.001.