We look at the division of 4201791 by 654 
Our goal is to divide 4201791 by 654.

Advancing to step 1:
4 divided by 654 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 654

Advancing to step 2:
654 goes into 42 0 times with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Take the next digit (0) from the dividend and append it to 42, then repeat: 420 / 654

Going ahead to step 3:
654 goes into 420 0 times with a remainder of 420.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 420 leaves us with 420.
Fetch the next digit (1) from the dividend, attach it to 420 and continue: 4201 / 654

Step 4:
If we divide 4201 by 654, we get 6 and a remainder of 277.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 277 after subtracting 3924 from 4201.
Include the next digit (7) from the dividend after 277, then repeat: 2777 / 654

Let's proceed to step 5:
The number 654 fits into 2777 4 times, leaving a remainder of 161.
The next digit of our result is 4. 
Result so far: 64.0
Subtract 2616 from 2777 to get 161.
Take the next digit (9) from the dividend and append it to 161, then repeat: 1619 / 654

Advancing to step 6:
1619 divided by 654 is 2 with a remainder of 311.
Use 2 as the next digit of our solution. 
Result so far: 642.0
Subtract 1308 from 1619 to get 311.
Grab the next digit (1) from the dividend, add it to 311, then carry on: 3111 / 654

On to step 7:
The number 654 fits into 3111 4 times, leaving a remainder of 495.
Write down 4 as next digit of the result. 
Result so far: 6424.0
If we take 2616 away from 3111, we end up with 495.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Let's proceed to step 8:
When dividing 4950 by 654, we get 7 with a remainder of 372.
Use 7 as the next digit of our solution. 
Result so far: 6424.7
The remainder is 372 after subtracting 4578 from 4950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

Advancing to step 9:
654 goes into 3720 5 times with a remainder of 450.
The next digit of our result is 5. 
Result so far: 6424.75
Deduct 3270 from 3720 and we're left with 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

On to step 10:
654 can be fit into 4500 6 times, resulting in a remainder of 576.
Use 6 as the next digit of our solution. 
Result so far: 6424.756
Subtract 3924 from 4500 to get 576.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5760, and continue the process.

On to step 11:
If we divide 5760 by 654, we get 8 and a remainder of 528.
The next digit of our result is 8. 
Result so far: 6424.7568
If we subtract 5232 from 5760, we get 528.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5280, and continue the process.

Let's proceed to step 12:
If we divide 5280 by 654, we get 8 and a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 6424.75688
Subtracting 5232 from 5280 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The quotient of the division is 6424.75688, and the remainder is 4.8e-05.