Let's divide 5814666 by 969
Let's see how many times 969 fits into 5814666.

Going ahead to step 1:
If we divide 5 by 969, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 969

Going ahead to step 2:
969 goes into 58 0 times with a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Include the next digit (1) from the dividend after 58, then repeat: 581 / 969

Step 3:
If we divide 581 by 969, we get 0 and a remainder of 581.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 581, we get 581.
Bring next digit (4) of the dividend behind the 581 and repeat the process: 5814 / 969

Moving on to step 4:
When dividing 5814 by 969, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 0 after subtracting 5814 from 5814.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 969

Going ahead to step 5:
If we divide 6 by 969, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 60.0
Subtract 0 from 6 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 969

Going ahead to step 6:
When dividing 66 by 969, we get 0 with a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 600.0
Subtracting 0 from 66 leaves us with 66.
Take the next digit (6) from the dividend and append it to 66, then repeat: 666 / 969

Moving on to step 7:
666 divided by 969 is 0 with a remainder of 666.
Put 0 as the next digit of the answer. 
Result so far: 6000.0
If we take 0 away from 666, we end up with 666.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6660, and continue the process.

Advancing to step 8:
When dividing 6660 by 969, we get 6 with a remainder of 846.
Use 6 as the next digit of our solution. 
Result so far: 6000.6
Subtract 5814 from 6660 to get 846.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8460, and continue the process.

On to step 9:
8460 divided by 969 is 8 with a remainder of 708.
Write down 8 as next digit of the result. 
Result so far: 6000.68
If we take 7752 away from 8460, we end up with 708.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7080, and continue the process.

On to step 10:
7080 divided by 969 is 7 with a remainder of 297.
Record the quotient 7 as the next digit in the result. 
Result so far: 6000.687
The remainder is 297 after subtracting 6783 from 7080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2970, and continue the process.

Advancing to step 11:
969 can be fit into 2970 3 times, resulting in a remainder of 63.
Use 3 as the next digit of our solution. 
Result so far: 6000.6873
If we take 2907 away from 2970, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Going ahead to step 12:
The number 969 fits into 630 0 times, leaving a remainder of 630.
Use 0 as the next digit of our solution. 
Result so far: 6000.6873
Subtracting 0 from 630 leaves us with 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6300, and continue the process.

Advancing to step 13:
When dividing 6300 by 969, we get 6 with a remainder of 486.
Write down 6 as next digit of the result. 
Result so far: 6000.687306
Deduct 5814 from 6300 and we're left with 486.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4860, and continue the process.

Let's proceed to step 14:
When dividing 4860 by 969, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 6000.6873065
Deduct 4845 from 4860 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 15:
When dividing 150 by 969, we get 0 with a remainder of 150.
The next digit of our result is 0. 
Result so far: 6000.6873065
If we subtract 0 from 150, we get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

After the division, we end up with 6000.6873065 and a remainder of 1.5e-07.