We're dividing 3117609 by 679 
We're looking to find how many times 679 goes into 3117609.

Let's proceed to step 1:
679 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 679

Going ahead to step 2:
When dividing 31 by 679, we get 0 with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 31, we end up with 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 679

On to step 3:
The number 679 fits into 311 0 times, leaving a remainder of 311.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 311 and we're left with 311.
Grab the next digit (7) from the dividend, add it to 311, then carry on: 3117 / 679

Moving on to step 4:
679 goes into 3117 4 times with a remainder of 401.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 2716 from 3117 to get 401.
Grab the next digit (6) from the dividend, add it to 401, then carry on: 4016 / 679

Advancing to step 5:
The number 679 fits into 4016 5 times, leaving a remainder of 621.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
Subtract 3395 from 4016 to get 621.
Include the next digit (0) from the dividend after 621, then repeat: 6210 / 679

Advancing to step 6:
If we divide 6210 by 679, we get 9 and a remainder of 99.
Write down 9 as next digit of the result. 
Result so far: 459.0
If we take 6111 away from 6210, we end up with 99.
Append the next digit (9) from the dividend to 99 and continue with: 999 / 679

Step 7:
679 can be fit into 999 1 times, resulting in a remainder of 320.
Use 1 as the next digit of our solution. 
Result so far: 4591.0
Subtract 679 from 999 to 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 8:
679 goes into 3200 4 times with a remainder of 484.
Record the quotient 4 as the next digit in the result. 
Result so far: 4591.4
Deduct 2716 from 3200 and we're left with 484.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

Going ahead to step 9:
4840 divided by 679 is 7 with a remainder of 87.
Use 7 as the next digit of our solution. 
Result so far: 4591.47
Deduct 4753 from 4840 and we're left with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Moving on to step 10:
679 goes into 870 1 times with a remainder of 191.
The number 1 becomes the next digit in our result. 
Result so far: 4591.471
Deduct 679 from 870 and we're left with 191.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1910, and continue the process.

Going ahead to step 11:
The number 679 fits into 1910 2 times, leaving a remainder of 552.
Record the quotient 2 as the next digit in the result. 
Result so far: 4591.4712
Deduct 1358 from 1910 and we're left with 552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

Step 12:
679 can be fit into 5520 8 times, resulting in a remainder of 88.
The number 8 becomes the next digit in our result. 
Result so far: 4591.47128
If we take 5432 away from 5520, we end up with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Going ahead to step 13:
If we divide 880 by 679, we get 1 and a remainder of 201.
Use 1 as the next digit of our solution. 
Result so far: 4591.471281
Subtract 679 from 880 to get 201.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2010, and continue the process.

Going ahead to step 14:
2010 divided by 679 is 2 with a remainder of 652.
Write down 2 as next digit of the result. 
Result so far: 4591.4712812
Subtracting 1358 from 2010 leaves us with 652.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6520, and continue the process.

Advancing to step 15:
6520 divided by 679 is 9 with a remainder of 409.
Use 9 as the next digit of our solution. 
Result so far: 4591.47128129
Subtract 6111 from 6520 to get 409.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4090, and continue the process.

The quotient of the division is 4591.47128129, and the remainder is 4.09e-07.