5601335 ÷ 680 
Let's see how many times 680 fits into 5601335.

Advancing to step 1:
If we divide 5 by 680, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 680

Step 2:
56 divided by 680 is 0 with a remainder of 56.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 56 and we're left with 56.
Bring next digit (0) of the dividend behind the 56 and repeat the process: 560 / 680

Moving on to step 3:
If we divide 560 by 680, we get 0 and a remainder of 560.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 560, we end up with 560.
Bring next digit (1) of the dividend behind the 560 and repeat the process: 5601 / 680

Advancing to step 4:
680 can be fit into 5601 8 times, resulting in a remainder of 161.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 161 after subtracting 5440 from 5601.
Bring next digit (3) of the dividend behind the 161 and repeat the process: 1613 / 680

Step 5:
If we divide 1613 by 680, we get 2 and a remainder of 253.
Put 2 as the next digit of the answer. 
Result so far: 82.0
If we subtract 1360 from 1613, we get 253.
Include the next digit (3) from the dividend after 253, then repeat: 2533 / 680

Going ahead to step 6:
The number 680 fits into 2533 3 times, leaving a remainder of 493.
Use 3 as the next digit of our solution. 
Result so far: 823.0
The remainder is 493 after subtracting 2040 from 2533.
Grab the next digit (5) from the dividend, add it to 493, then carry on: 4935 / 680

Going ahead to step 7:
4935 divided by 680 is 7 with a remainder of 175.
Put 7 as the next digit of the answer. 
Result so far: 8237.0
Subtract 4760 from 4935 to get 175.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1750, and continue the process.

On to step 8:
680 goes into 1750 2 times with a remainder of 390.
The number 2 becomes the next digit in our result. 
Result so far: 8237.2
If we take 1360 away from 1750, we end up with 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Moving on to step 9:
3900 divided by 680 is 5 with a remainder of 500.
Record the quotient 5 as the next digit in the result. 
Result so far: 8237.25
Subtract 3400 from 3900 to get 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Moving on to step 10:
680 can be fit into 5000 7 times, resulting in a remainder of 240.
The next digit of our result is 7. 
Result so far: 8237.257
The remainder is 240 after subtracting 4760 from 5000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Let's proceed to step 11:
680 goes into 2400 3 times with a remainder of 360.
Put 3 as the next digit of the answer. 
Result so far: 8237.2573
Subtracting 2040 from 2400 leaves us with 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Step 12:
If we divide 3600 by 680, we get 5 and a remainder of 200.
The number 5 becomes the next digit in our result. 
Result so far: 8237.25735
Subtract 3400 from 3600 to get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

On to step 13:
680 goes into 2000 2 times with a remainder of 640.
The number 2 becomes the next digit in our result. 
Result so far: 8237.257352
Deduct 1360 from 2000 and we're left with 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

Moving on to step 14:
680 goes into 6400 9 times with a remainder of 280.
Record the quotient 9 as the next digit in the result. 
Result so far: 8237.2573529
Subtracting 6120 from 6400 leaves us with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Advancing to step 15:
When dividing 2800 by 680, we get 4 with a remainder of 80.
The number 4 becomes the next digit in our result. 
Result so far: 8237.25735294
Subtract 2720 from 2800 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

After the division, we end up with 8237.25735294 and a remainder of 8e-08.