3764 divided by 89 
We're looking to find how many times 89 goes into 3764.

Advancing to step 1:
When dividing 3 by 89, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 89

Let's proceed to step 2:
37 divided by 89 is 0 with a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Grab the next digit (6) from the dividend, add it to 37, then carry on: 376 / 89

On to step 3:
89 can be fit into 376 4 times, resulting in a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 356 from 376, we get 20.
Include the next digit (4) from the dividend after 20, then repeat: 204 / 89

On to step 4:
The number 89 fits into 204 2 times, leaving a remainder of 26.
The next digit of our result is 2. 
Result so far: 42.0
Subtracting 178 from 204 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 5:
The number 89 fits into 260 2 times, leaving a remainder of 82.
Put 2 as the next digit of the answer. 
Result so far: 42.2
If we subtract 178 from 260, we get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

On to step 6:
89 can be fit into 820 9 times, resulting in a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 42.29
Deduct 801 from 820 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
89 goes into 190 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 42.292
If we subtract 178 from 190, 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 8:
89 goes into 120 1 times with a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 42.2921
If we subtract 89 from 120, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 9:
The number 89 fits into 310 3 times, leaving a remainder of 43.
The number 3 becomes the next digit in our result. 
Result so far: 42.29213
Subtract 267 from 310 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 10:
89 goes into 430 4 times with a remainder of 74.
The number 4 becomes the next digit in our result. 
Result so far: 42.292134
Subtract 356 from 430 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 11:
The number 89 fits into 740 8 times, leaving a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 42.2921348
Subtracting 712 from 740 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.

Let's proceed to step 12:
When dividing 280 by 89, we get 3 with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 42.29213483
If we subtract 267 from 280, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 42.29213483 with a remainder of 1.3e-08.