We divide 10126 by 74
We're looking to find how many times 74 goes into 10126.

Going ahead to step 1:
1 divided by 74 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 74

Going ahead to step 2:
If we divide 10 by 74, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 74

Moving on to step 3:
When dividing 101 by 74, we get 1 with a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 74 from 101 leaves us with 27.
Fetch the next digit (2) from the dividend, attach it to 27 and continue: 272 / 74

On to step 4:
The number 74 fits into 272 3 times, leaving a remainder of 50.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 50 after subtracting 222 from 272.
Take the next digit (6) from the dividend and append it to 50, then repeat: 506 / 74

Step 5:
When dividing 506 by 74, we get 6 with a remainder of 62.
Put 6 as the next digit of the answer. 
Result so far: 136.0
Subtract 444 from 506 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 6:
74 can be fit into 620 8 times, resulting in a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 136.8
The remainder is 28 after subtracting 592 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
When dividing 280 by 74, we get 3 with a remainder of 58.
The next digit of our result is 3. 
Result so far: 136.83
Subtracting 222 from 280 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 8:
74 can be fit into 580 7 times, resulting in a remainder of 62.
Put 7 as the next digit of the answer. 
Result so far: 136.837
Deduct 518 from 580 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 9:
620 divided by 74 is 8 with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 136.8378
Subtracting 592 from 620 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
When dividing 280 by 74, we get 3 with a remainder of 58.
Use 3 as the next digit of our solution. 
Result so far: 136.83783
If we subtract 222 from 280, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 11:
The number 74 fits into 580 7 times, leaving a remainder of 62.
The next digit of our result is 7. 
Result so far: 136.837837
If we take 518 away from 580, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 12:
When dividing 620 by 74, we get 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 136.8378378
Subtract 592 from 620 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 13:
74 can be fit into 280 3 times, resulting in a remainder of 58.
Record the quotient 3 as the next digit in the result. 
Result so far: 136.83783783
If we subtract 222 from 280, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

In conclusion, the division gives 136.83783783 with a balance of 5.8e-08.