We're dividing 7949894 by 953 
Let's see how many times 953 fits into 7949894.

On to step 1:
953 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 953

Going ahead to step 2:
The number 953 fits into 79 0 times, leaving a remainder of 79.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 79, we end up with 79.
Grab the next digit (4) from the dividend, add it to 79, then carry on: 794 / 953

Let's proceed to step 3:
The number 953 fits into 794 0 times, leaving a remainder of 794.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 794, we get 794.
Include the next digit (9) from the dividend after 794, then repeat: 7949 / 953

Going ahead to step 4:
The number 953 fits into 7949 8 times, leaving a remainder of 325.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 325 after subtracting 7624 from 7949.
Fetch the next digit (8) from the dividend, attach it to 325 and continue: 3258 / 953

On to step 5:
When dividing 3258 by 953, we get 3 with a remainder of 399.
Use 3 as the next digit of our solution. 
Result so far: 83.0
Deduct 2859 from 3258 and we're left with 399.
Fetch the next digit (9) from the dividend, attach it to 399 and continue: 3999 / 953

Let's proceed to step 6:
953 can be fit into 3999 4 times, resulting in a remainder of 187.
Put 4 as the next digit of the answer. 
Result so far: 834.0
If we take 3812 away from 3999, we end up with 187.
Include the next digit (4) from the dividend after 187, then repeat: 1874 / 953

Advancing to step 7:
953 can be fit into 1874 1 times, resulting in a remainder of 921.
Use 1 as the next digit of our solution. 
Result so far: 8341.0
Deduct 953 from 1874 and we're left with 921.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9210, and continue the process.

Going ahead to step 8:
953 goes into 9210 9 times with a remainder of 633.
Use 9 as the next digit of our solution. 
Result so far: 8341.9
Subtracting 8577 from 9210 leaves us with 633.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6330, and continue the process.

Step 9:
If we divide 6330 by 953, we get 6 and a remainder of 612.
Write down 6 as next digit of the result. 
Result so far: 8341.96
If we subtract 5718 from 6330, we get 612.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6120, and continue the process.

Advancing to step 10:
953 can be fit into 6120 6 times, resulting in a remainder of 402.
The next digit of our result is 6. 
Result so far: 8341.966
If we subtract 5718 from 6120, we get 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

The quotient of the division is 8341.966, and the remainder is 0.0402.