6114 divided by 46 
We want to divide 6114 by 46.

Let's proceed to step 1:
If we divide 6 by 46, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 46

On to step 2:
The number 46 fits into 61 1 times, leaving a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 46 from 61 to get 15.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 46

Step 3:
151 divided by 46 is 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we take 138 away from 151, we end up with 13.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 46

Advancing to step 4:
46 can be fit into 134 2 times, resulting in a remainder of 42.
Record the quotient 2 as the next digit in the result. 
Result so far: 132.0
Subtract 92 from 134 to 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.

Moving on to step 5:
When dividing 420 by 46, we get 9 with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 132.9
Deduct 414 from 420 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 6:
60 divided by 46 is 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 132.91
If we subtract 46 from 60, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
140 divided by 46 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 132.913
The remainder is 2 after subtracting 138 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
When dividing 20 by 46, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 132.913
Deduct 0 from 20 and we're left 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.

Moving on to step 9:
If we divide 200 by 46, we get 4 and a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 132.91304
Subtracting 184 from 200 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
When dividing 160 by 46, we get 3 with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 132.913043
The remainder is 22 after subtracting 138 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 11:
If we divide 220 by 46, we get 4 and a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 132.9130434
Deduct 184 from 220 and we're left 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.

Advancing to step 12:
When dividing 360 by 46, we get 7 with a remainder of 38.
The next digit of our result is 7. 
Result so far: 132.91304347
Subtracting 322 from 360 leaves us 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.

The final outcome is 132.91304347, with a leftover of 3.8e-08.