We're dividing 63433180 by 953 
We want to figure out the number of times 63433180 can be divided by 953.

Moving on to step 1:
953 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 953

On to step 2:
63 divided by 953 is 0 with a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Include the next digit (4) from the dividend after 63, then repeat: 634 / 953

Step 3:
634 divided by 953 is 0 with a remainder of 634.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 634, we get 634.
Include the next digit (3) from the dividend after 634, then repeat: 6343 / 953

Advancing to step 4:
If we divide 6343 by 953, we get 6 and a remainder of 625.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 5718 from 6343 leaves us with 625.
Take the next digit (3) from the dividend and append it to 625, then repeat: 6253 / 953

Moving on to step 5:
The number 953 fits into 6253 6 times, leaving a remainder of 535.
Use 6 as the next digit of our solution. 
Result so far: 66.0
If we take 5718 away from 6253, we end up with 535.
Grab the next digit (1) from the dividend, add it to 535, then carry on: 5351 / 953

Moving on to step 6:
5351 divided by 953 is 5 with a remainder of 586.
The next digit of our result is 5. 
Result so far: 665.0
Subtracting 4765 from 5351 leaves us with 586.
Grab the next digit (8) from the dividend, add it to 586, then carry on: 5868 / 953

Advancing to step 7:
When dividing 5868 by 953, we get 6 with a remainder of 150.
Put 6 as the next digit of the answer. 
Result so far: 6656.0
Subtract 5718 from 5868 to get 150.
Take the next digit (0) from the dividend and append it to 150, then repeat: 1500 / 953

Going ahead to step 8:
If we divide 1500 by 953, we get 1 and a remainder of 547.
Put 1 as the next digit of the answer. 
Result so far: 66561.0
If we subtract 953 from 1500, we get 547.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5470, and continue the process.

Step 9:
When dividing 5470 by 953, we get 5 with a remainder of 705.
Put 5 as the next digit of the answer. 
Result so far: 66561.5
The remainder is 705 after subtracting 4765 from 5470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7050, and continue the process.

Moving on to step 10:
953 goes into 7050 7 times with a remainder of 379.
Use 7 as the next digit of our solution. 
Result so far: 66561.57
The remainder is 379 after subtracting 6671 from 7050.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

Advancing to step 11:
If we divide 3790 by 953, we get 3 and a remainder of 931.
The next digit of our result is 3. 
Result so far: 66561.573
If we subtract 2859 from 3790, we get 931.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9310, and continue the process.

Moving on to step 12:
9310 divided by 953 is 9 with a remainder of 733.
Put 9 as the next digit of the answer. 
Result so far: 66561.5739
Deduct 8577 from 9310 and we're left with 733.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7330, and continue the process.

On to step 13:
When dividing 7330 by 953, we get 7 with a remainder of 659.
The number 7 becomes the next digit in our result. 
Result so far: 66561.57397
The remainder is 659 after subtracting 6671 from 7330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6590, and continue the process.

Step 14:
953 can be fit into 6590 6 times, resulting in a remainder of 872.
Put 6 as the next digit of the answer. 
Result so far: 66561.573976
Deduct 5718 from 6590 and we're left with 872.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8720, and continue the process.

Moving on to step 15:
The number 953 fits into 8720 9 times, leaving a remainder of 143.
Record the quotient 9 as the next digit in the result. 
Result so far: 66561.5739769
Subtracting 8577 from 8720 leaves us with 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Step 16:
953 goes into 1430 1 times with a remainder of 477.
Use 1 as the next digit of our solution. 
Result so far: 66561.57397691
If we subtract 953 from 1430, we get 477.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4770, and continue the process.

The final result is 66561.57397691 with a remainder of 4.77e-07.