We look at the division of 15677 by 67 
We want to divide 15677 by 67.

Let's proceed to step 1:
When dividing 1 by 67, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 67

Going ahead to step 2:
15 divided by 67 is 0 with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Append the next digit (6) from the dividend to 15 and continue with: 156 / 67

On to step 3:
67 goes into 156 2 times with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 22 after subtracting 134 from 156.
Take the next digit (7) from the dividend and append it to 22, then repeat: 227 / 67

Step 4:
67 goes into 227 3 times with a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 23.0
Deduct 201 from 227 and we're left with 26.
Grab the next digit (7) from the dividend, add it to 26, then carry on: 267 / 67

On to step 5:
67 goes into 267 3 times with a remainder of 66.
Write down 3 as next digit of the result. 
Result so far: 233.0
The remainder is 66 after subtracting 201 from 267.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 6:
67 can be fit into 660 9 times, resulting in a remainder of 57.
The next digit of our result is 9. 
Result so far: 233.9
If we subtract 603 from 660, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 7:
If we divide 570 by 67, we get 8 and a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 233.98
Subtract 536 from 570 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
When dividing 340 by 67, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 233.985
Subtract 335 from 340 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 9:
67 can be fit into 50 0 times, resulting in a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 233.985
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 10:
When dividing 500 by 67, we get 7 with a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 233.98507
The remainder is 31 after subtracting 469 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 11:
If we divide 310 by 67, we get 4 and a remainder of 42.
Record the quotient 4 as the next digit in the result. 
Result so far: 233.985074
If we subtract 268 from 310, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 12:
The number 67 fits into 420 6 times, leaving a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 233.9850746
If we take 402 away from 420, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 13:
67 can be fit into 180 2 times, resulting in a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 233.98507462
Subtracting 134 from 180 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

The final result is 233.98507462 with a remainder of 4.6e-08.