We divide 106021 by 74
Our goal is to divide 106021 by 74.

Going ahead to step 1:
If we divide 1 by 74, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 74

Step 2:
74 can be fit into 10 0 times, resulting in 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.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 74

Let's proceed to step 3:
74 goes into 106 1 times with a remainder of 32.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 74 from 106, we get 32.
Append the next digit (0) from the dividend to 32 and continue with: 320 / 74

Step 4:
74 goes into 320 4 times with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtracting 296 from 320 leaves us with 24.
Grab the next digit (2) from the dividend, add it to 24, then carry on: 242 / 74

Moving on to step 5:
74 goes into 242 3 times with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 143.0
Deduct 222 from 242 and we're left with 20.
Include the next digit (1) from the dividend after 20, then repeat: 201 / 74

On to step 6:
If we divide 201 by 74, we get 2 and a remainder of 53.
Put 2 as the next digit of the answer. 
Result so far: 1432.0
If we subtract 148 from 201, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 7:
The number 74 fits into 530 7 times, leaving a remainder of 12.
The next digit of our result is 7. 
Result so far: 1432.7
Subtract 518 from 530 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
When dividing 120 by 74, we get 1 with a remainder of 46.
The number 1 becomes the next digit in our result. 
Result so far: 1432.71
If we take 74 away from 120, we end up 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.

Let's proceed to step 9:
If we divide 460 by 74, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 1432.716
Subtracting 444 from 460 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.

Moving on to step 10:
160 divided by 74 is 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 1432.7162
If we subtract 148 from 160, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
If we divide 120 by 74, we get 1 and a remainder of 46.
The number 1 becomes the next digit in our result. 
Result so far: 1432.71621
Subtract 74 from 120 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 12:
74 goes into 460 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 1432.716216
Subtract 444 from 460 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 13:
If we divide 160 by 74, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 1432.7162162
The remainder is 12 after subtracting 148 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
74 goes into 120 1 times with a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 1432.71621621
Deduct 74 from 120 and we're left 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.

In conclusion, the division gives 1432.71621621 with a balance of 4.6e-08.