We're dividing 83121001 by 678 
We're looking to find how many times 678 goes into 83121001.

Let's proceed to step 1:
8 divided by 678 is 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 678

Step 2:
The number 678 fits into 83 0 times, leaving a remainder of 83.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 83 and we're left with 83.
Include the next digit (1) from the dividend after 83, then repeat: 831 / 678

On to step 3:
831 divided by 678 is 1 with a remainder of 153.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 678 from 831 to get 153.
Fetch the next digit (2) from the dividend, attach it to 153 and continue: 1532 / 678

Going ahead to step 4:
When dividing 1532 by 678, we get 2 with a remainder of 176.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Deduct 1356 from 1532 and we're left with 176.
Grab the next digit (1) from the dividend, add it to 176, then carry on: 1761 / 678

Let's proceed to step 5:
678 can be fit into 1761 2 times, resulting in a remainder of 405.
Record the quotient 2 as the next digit in the result. 
Result so far: 122.0
If we take 1356 away from 1761, we end up with 405.
Take the next digit (0) from the dividend and append it to 405, then repeat: 4050 / 678

Step 6:
The number 678 fits into 4050 5 times, leaving a remainder of 660.
The next digit of our result is 5. 
Result so far: 1225.0
Deduct 3390 from 4050 and we're left with 660.
Grab the next digit (0) from the dividend, add it to 660, then carry on: 6600 / 678

On to step 7:
678 goes into 6600 9 times with a remainder of 498.
Record the quotient 9 as the next digit in the result. 
Result so far: 12259.0
Subtract 6102 from 6600 to get 498.
Fetch the next digit (1) from the dividend, attach it to 498 and continue: 4981 / 678

Let's proceed to step 8:
4981 divided by 678 is 7 with a remainder of 235.
The number 7 becomes the next digit in our result. 
Result so far: 122597.0
Deduct 4746 from 4981 and we're left with 235.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2350, and continue the process.

Let's proceed to step 9:
2350 divided by 678 is 3 with a remainder of 316.
The next digit of our result is 3. 
Result so far: 122597.3
Subtract 2034 from 2350 to get 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

Step 10:
3160 divided by 678 is 4 with a remainder of 448.
The number 4 becomes the next digit in our result. 
Result so far: 122597.34
The remainder is 448 after subtracting 2712 from 3160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Moving on to step 11:
4480 divided by 678 is 6 with a remainder of 412.
Record the quotient 6 as the next digit in the result. 
Result so far: 122597.346
Subtracting 4068 from 4480 leaves us with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

On to step 12:
678 goes into 4120 6 times with a remainder of 52.
Record the quotient 6 as the next digit in the result. 
Result so far: 122597.3466
Subtracting 4068 from 4120 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 122597.3466, and the remainder is 0.00052.