7004534 divided by 953 
We want to divide 7004534 by 953.

On to step 1:
The number 953 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 953

Step 2:
The number 953 fits into 70 0 times, leaving a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 70 after subtracting 0 from 70.
Take the next digit (0) from the dividend and append it to 70, then repeat: 700 / 953

Going ahead to step 3:
953 can be fit into 700 0 times, resulting in a remainder of 700.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 700 after subtracting 0 from 700.
Grab the next digit (4) from the dividend, add it to 700, then carry on: 7004 / 953

Let's proceed to step 4:
7004 divided by 953 is 7 with a remainder of 333.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 6671 from 7004 leaves us with 333.
Fetch the next digit (5) from the dividend, attach it to 333 and continue: 3335 / 953

Going ahead to step 5:
The number 953 fits into 3335 3 times, leaving a remainder of 476.
Put 3 as the next digit of the answer. 
Result so far: 73.0
If we take 2859 away from 3335, we end up with 476.
Bring next digit (3) of the dividend behind the 476 and repeat the process: 4763 / 953

Advancing to step 6:
If we divide 4763 by 953, we get 4 and a remainder of 951.
The number 4 becomes the next digit in our result. 
Result so far: 734.0
Deduct 3812 from 4763 and we're left with 951.
Include the next digit (4) from the dividend after 951, then repeat: 9514 / 953

Moving on to step 7:
The number 953 fits into 9514 9 times, leaving a remainder of 937.
Put 9 as the next digit of the answer. 
Result so far: 7349.0
Subtracting 8577 from 9514 leaves us with 937.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9370, and continue the process.

Let's proceed to step 8:
9370 divided by 953 is 9 with a remainder of 793.
Use 9 as the next digit of our solution. 
Result so far: 7349.9
If we subtract 8577 from 9370, we get 793.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7930, and continue the process.

Step 9:
953 goes into 7930 8 times with a remainder of 306.
Put 8 as the next digit of the answer. 
Result so far: 7349.98
If we subtract 7624 from 7930, we get 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

Moving on to step 10:
953 can be fit into 3060 3 times, resulting in a remainder of 201.
Write down 3 as next digit of the result. 
Result so far: 7349.983
The remainder is 201 after subtracting 2859 from 3060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2010, and continue the process.

Moving on to step 11:
953 goes into 2010 2 times with a remainder of 104.
Record the quotient 2 as the next digit in the result. 
Result so far: 7349.9832
Deduct 1906 from 2010 and we're left with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Moving on to step 12:
953 can be fit into 1040 1 times, resulting in a remainder of 87.
The number 1 becomes the next digit in our result. 
Result so far: 7349.98321
The remainder is 87 after subtracting 953 from 1040.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

On to step 13:
953 goes into 870 0 times with a remainder of 870.
The number 0 becomes the next digit in our result. 
Result so far: 7349.98321
Deduct 0 from 870 and we're left with 870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8700, and continue the process.

Advancing to step 14:
953 goes into 8700 9 times with a remainder of 123.
The next digit of our result is 9. 
Result so far: 7349.9832109
Subtract 8577 from 8700 to get 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

Going ahead to step 15:
953 can be fit into 1230 1 times, resulting in a remainder of 277.
Write down 1 as next digit of the result. 
Result so far: 7349.98321091
Subtracting 953 from 1230 leaves us with 277.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2770, and continue the process.

The quotient of the division is 7349.98321091, and the remainder is 2.77e-07.