We're dividing 4210806 by 680 
Our goal is to divide 4210806 by 680.

Step 1:
When dividing 4 by 680, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 680

Going ahead to step 2:
The number 680 fits into 42 0 times, leaving a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 680

Step 3:
If we divide 421 by 680, we get 0 and a remainder of 421.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 421 after subtracting 0 from 421.
Grab the next digit (0) from the dividend, add it to 421, then carry on: 4210 / 680

Moving on to step 4:
680 can be fit into 4210 6 times, resulting in a remainder of 130.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 4080 from 4210, we get 130.
Append the next digit (8) from the dividend to 130 and continue with: 1308 / 680

Moving on to step 5:
The number 680 fits into 1308 1 times, leaving a remainder of 628.
Put 1 as the next digit of the answer. 
Result so far: 61.0
The remainder is 628 after subtracting 680 from 1308.
Grab the next digit (0) from the dividend, add it to 628, then carry on: 6280 / 680

On to step 6:
The number 680 fits into 6280 9 times, leaving a remainder of 160.
The number 9 becomes the next digit in our result. 
Result so far: 619.0
If we take 6120 away from 6280, we end up with 160.
Take the next digit (6) from the dividend and append it to 160, then repeat: 1606 / 680

Let's proceed to step 7:
When dividing 1606 by 680, we get 2 with a remainder of 246.
Use 2 as the next digit of our solution. 
Result so far: 6192.0
If we take 1360 away from 1606, we end up with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Let's proceed to step 8:
2460 divided by 680 is 3 with a remainder of 420.
Write down 3 as next digit of the result. 
Result so far: 6192.3
Subtract 2040 from 2460 to get 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Advancing to step 9:
If we divide 4200 by 680, we get 6 and a remainder of 120.
The number 6 becomes the next digit in our result. 
Result so far: 6192.36
Subtract 4080 from 4200 to get 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Moving on to step 10:
680 goes into 1200 1 times with a remainder of 520.
The next digit of our result is 1. 
Result so far: 6192.361
Subtract 680 from 1200 to get 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

On to step 11:
If we divide 5200 by 680, we get 7 and a remainder of 440.
The number 7 becomes the next digit in our result. 
Result so far: 6192.3617
Subtracting 4760 from 5200 leaves us with 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Advancing to step 12:
The number 680 fits into 4400 6 times, leaving a remainder of 320.
Put 6 as the next digit of the answer. 
Result so far: 6192.36176
If we subtract 4080 from 4400, we get 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Advancing to step 13:
3200 divided by 680 is 4 with a remainder of 480.
The next digit of our result is 4. 
Result so far: 6192.361764
The remainder is 480 after subtracting 2720 from 3200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Advancing to step 14:
680 goes into 4800 7 times with a remainder of 40.
Record the quotient 7 as the next digit in the result. 
Result so far: 6192.3617647
If we subtract 4760 from 4800, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 15:
If we divide 400 by 680, we get 0 and a remainder of 400.
Use 0 as the next digit of our solution. 
Result so far: 6192.3617647
Subtracting 0 from 400 leaves us with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

The quotient of the division is 6192.3617647, and the remainder is 4e-07.