126557 divided by 84 
Our goal is to divide 126557 by 84.

Let's proceed to step 1:
84 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 84

On to step 2:
If we divide 12 by 84, we get 0 and a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 84

Going ahead to step 3:
84 can be fit into 126 1 times, resulting in a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 84 from 126 leaves us with 42.
Fetch the next digit (5) from the dividend, attach it to 42 and continue: 425 / 84

On to step 4:
If we divide 425 by 84, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtract 420 from 425 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 84

Step 5:
If we divide 55 by 84, we get 0 and a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 150.0
Subtracting 0 from 55 leaves us with 55.
Grab the next digit (7) from the dividend, add it to 55, then carry on: 557 / 84

Let's proceed to step 6:
84 can be fit into 557 6 times, resulting in a remainder of 53.
Put 6 as the next digit of the answer. 
Result so far: 1506.0
Deduct 504 from 557 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 7:
530 divided by 84 is 6 with a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 1506.6
If we subtract 504 from 530, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
260 divided by 84 is 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 1506.63
Subtract 252 from 260 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
If we divide 80 by 84, we get 0 and a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 1506.63
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 10:
84 can be fit into 800 9 times, resulting in a remainder of 44.
Record the quotient 9 as the next digit in the result. 
Result so far: 1506.6309
Subtract 756 from 800 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 11:
84 goes into 440 5 times with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 1506.63095
If we take 420 away from 440, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
If we divide 200 by 84, we get 2 and a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 1506.630952
If we subtract 168 from 200, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 13:
The number 84 fits into 320 3 times, leaving a remainder of 68.
Write down 3 as next digit of the result. 
Result so far: 1506.6309523
Subtract 252 from 320 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 14:
When dividing 680 by 84, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 1506.63095238
If we take 672 away from 680, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 1506.63095238 with a remaining 8e-09.