We look at the division of 13679559 by 151 
Our goal is to divide 13679559 by 151.

Step 1:
The number 151 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 151

Step 2:
The number 151 fits into 13 0 times, leaving a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 151

Moving on to step 3:
The number 151 fits into 136 0 times, leaving a remainder of 136.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 136 and we're left with 136.
Bring next digit (7) of the dividend behind the 136 and repeat the process: 1367 / 151

On to step 4:
151 goes into 1367 9 times with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 1359 from 1367 to get 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 151

Moving on to step 5:
151 can be fit into 89 0 times, resulting in a remainder of 89.
Put 0 as the next digit of the answer. 
Result so far: 90.0
Subtract 0 from 89 to get 89.
Append the next digit (5) from the dividend to 89 and continue with: 895 / 151

Step 6:
151 can be fit into 895 5 times, resulting in a remainder of 140.
Write down 5 as next digit of the result. 
Result so far: 905.0
The remainder is 140 after subtracting 755 from 895.
Append the next digit (5) from the dividend to 140 and continue with: 1405 / 151

Going ahead to step 7:
151 goes into 1405 9 times with a remainder of 46.
The next digit of our result is 9. 
Result so far: 9059.0
Deduct 1359 from 1405 and we're left with 46.
Append the next digit (9) from the dividend to 46 and continue with: 469 / 151

Moving on to step 8:
151 can be fit into 469 3 times, resulting in a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 90593.0
If we subtract 453 from 469, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
If we divide 160 by 151, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 90593.1
If we subtract 151 from 160, we 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.

On to step 10:
151 goes into 90 0 times with a remainder of 90.
Write down 0 as next digit of the result. 
Result so far: 90593.1
Subtract 0 from 90 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Going ahead to step 11:
151 can be fit into 900 5 times, resulting in a remainder of 145.
Put 5 as the next digit of the answer. 
Result so far: 90593.105
If we take 755 away from 900, we end up with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Moving on to step 12:
151 can be fit into 1450 9 times, resulting in a remainder of 91.
The next digit of our result is 9. 
Result so far: 90593.1059
The remainder is 91 after subtracting 1359 from 1450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Step 13:
When dividing 910 by 151, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 90593.10596
The remainder is 4 after subtracting 906 from 910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
40 divided by 151 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 90593.10596
If we take 0 away from 40, we end up with 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:
When dividing 400 by 151, we get 2 with a remainder of 98.
The number 2 becomes the next digit in our result. 
Result so far: 90593.1059602
The remainder is 98 after subtracting 302 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

On to step 16:
If we divide 980 by 151, we get 6 and a remainder of 74.
Use 6 as the next digit of our solution. 
Result so far: 90593.10596026
The remainder is 74 after subtracting 906 from 980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

In conclusion, the division gives 90593.10596026 with a balance of 7.4e-08.