We divide 680598 by 53
Let's see how many times 53 fits into 680598.

On to step 1:
The number 53 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 53

Moving on to step 2:
53 goes into 68 1 times with a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 53 from 68 to get 15.
Append the next digit (0) from the dividend to 15 and continue with: 150 / 53

Step 3:
The number 53 fits into 150 2 times, leaving a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 44 after subtracting 106 from 150.
Include the next digit (5) from the dividend after 44, then repeat: 445 / 53

Step 4:
53 goes into 445 8 times with a remainder of 21.
The next digit of our result is 8. 
Result so far: 128.0
Subtracting 424 from 445 leaves us with 21.
Grab the next digit (9) from the dividend, add it to 21, then carry on: 219 / 53

Step 5:
53 goes into 219 4 times with a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 1284.0
Subtracting 212 from 219 leaves us with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 53

Advancing to step 6:
53 goes into 78 1 times with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 12841.0
Subtract 53 from 78 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 7:
53 can be fit into 250 4 times, resulting in a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 12841.4
Deduct 212 from 250 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 8:
The number 53 fits into 380 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 12841.47
Subtract 371 from 380 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
When dividing 90 by 53, we get 1 with a remainder of 37.
The next digit of our result is 1. 
Result so far: 12841.471
The remainder is 37 after subtracting 53 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 10:
53 can be fit into 370 6 times, resulting in a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 12841.4716
Deduct 318 from 370 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 11:
The number 53 fits into 520 9 times, leaving a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 12841.47169
If we subtract 477 from 520, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 12:
53 goes into 430 8 times with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 12841.471698
If we subtract 424 from 430, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
When dividing 60 by 53, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 12841.4716981
If we take 53 away from 60, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 14:
53 can be fit into 70 1 times, resulting in a remainder of 17.
The next digit of our result is 1. 
Result so far: 12841.47169811
If we take 53 away from 70, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 12841.47169811 with a balance of 1.7e-08.