We're dividing 5634966 by 114 
We're looking to find how many times 114 goes into 5634966.

Moving on to step 1:
The number 114 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 114

Going ahead to step 2:
114 goes into 56 0 times with a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 56, we end up with 56.
Append the next digit (3) from the dividend to 56 and continue with: 563 / 114

Moving on to step 3:
When dividing 563 by 114, we get 4 with a remainder of 107.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 456 from 563 to get 107.
Bring next digit (4) of the dividend behind the 107 and repeat the process: 1074 / 114

Step 4:
114 can be fit into 1074 9 times, resulting in a remainder of 48.
The next digit of our result is 9. 
Result so far: 49.0
Subtract 1026 from 1074 to get 48.
Bring next digit (9) of the dividend behind the 48 and repeat the process: 489 / 114

Step 5:
114 goes into 489 4 times with a remainder of 33.
Use 4 as the next digit of our solution. 
Result so far: 494.0
If we take 456 away from 489, we end up with 33.
Fetch the next digit (6) from the dividend, attach it to 33 and continue: 336 / 114

Going ahead to step 6:
114 goes into 336 2 times with a remainder of 108.
The next digit of our result is 2. 
Result so far: 4942.0
If we take 228 away from 336, we end up with 108.
Include the next digit (6) from the dividend after 108, then repeat: 1086 / 114

Going ahead to step 7:
The number 114 fits into 1086 9 times, leaving a remainder of 60.
Put 9 as the next digit of the answer. 
Result so far: 49429.0
If we take 1026 away from 1086, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 8:
When dividing 600 by 114, we get 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 49429.5
If we subtract 570 from 600, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 9:
The number 114 fits into 300 2 times, leaving a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 49429.52
Subtract 228 from 300 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 10:
114 can be fit into 720 6 times, resulting in a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 49429.526
Subtracting 684 from 720 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 11:
114 goes into 360 3 times with a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 49429.5263
Deduct 342 from 360 and we're left 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.

Step 12:
When dividing 180 by 114, we get 1 with a remainder of 66.
The number 1 becomes the next digit in our result. 
Result so far: 49429.52631
Deduct 114 from 180 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 13:
114 can be fit into 660 5 times, resulting in a remainder of 90.
The number 5 becomes the next digit in our result. 
Result so far: 49429.526315
The remainder is 90 after subtracting 570 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 14:
If we divide 900 by 114, we get 7 and a remainder of 102.
The next digit of our result is 7. 
Result so far: 49429.5263157
If we take 798 away from 900, we end up with 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Let's proceed to step 15:
114 can be fit into 1020 8 times, resulting in a remainder of 108.
The number 8 becomes the next digit in our result. 
Result so far: 49429.52631578
Subtracting 912 from 1020 leaves us with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

The quotient of the division is 49429.52631578, and the remainder is 1.08e-07.