We're dividing 1351859 by 679 
Our goal is to divide 1351859 by 679.

On to step 1:
If we divide 1 by 679, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 679

On to step 2:
When dividing 13 by 679, we get 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 679

Moving on to step 3:
135 divided by 679 is 0 with a remainder of 135.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 135 and we're left with 135.
Bring next digit (1) of the dividend behind the 135 and repeat the process: 1351 / 679

Going ahead to step 4:
When dividing 1351 by 679, we get 1 with a remainder of 672.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 679 away from 1351, we end up with 672.
Grab the next digit (8) from the dividend, add it to 672, then carry on: 6728 / 679

Going ahead to step 5:
679 goes into 6728 9 times with a remainder of 617.
Write down 9 as next digit of the result. 
Result so far: 19.0
Deduct 6111 from 6728 and we're left with 617.
Fetch the next digit (5) from the dividend, attach it to 617 and continue: 6175 / 679

On to step 6:
679 can be fit into 6175 9 times, resulting in a remainder of 64.
Put 9 as the next digit of the answer. 
Result so far: 199.0
Subtracting 6111 from 6175 leaves us with 64.
Append the next digit (9) from the dividend to 64 and continue with: 649 / 679

Going ahead to step 7:
679 goes into 649 0 times with a remainder of 649.
Record the quotient 0 as the next digit in the result. 
Result so far: 1990.0
If we subtract 0 from 649, we get 649.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6490, and continue the process.

Moving on to step 8:
If we divide 6490 by 679, we get 9 and a remainder of 379.
Put 9 as the next digit of the answer. 
Result so far: 1990.9
If we subtract 6111 from 6490, we get 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

On to step 9:
679 goes into 3790 5 times with a remainder of 395.
Record the quotient 5 as the next digit in the result. 
Result so far: 1990.95
If we take 3395 away from 3790, we end up with 395.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

Step 10:
When dividing 3950 by 679, we get 5 with a remainder of 555.
Write down 5 as next digit of the result. 
Result so far: 1990.955
Deduct 3395 from 3950 and we're left with 555.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5550, and continue the process.

In conclusion, the division gives 1990.955 with a balance of 0.0555.