95674 ÷ 37 
Our goal is to divide 95674 by 37.

Let's proceed to step 1:
37 goes into 9 0 times with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 37

Going ahead to step 2:
37 can be fit into 95 2 times, resulting in a remainder of 21.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 21 after subtracting 74 from 95.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 37

On to step 3:
37 can be fit into 216 5 times, resulting in a remainder of 31.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Deduct 185 from 216 and we're left with 31.
Grab the next digit (7) from the dividend, add it to 31, then carry on: 317 / 37

Going ahead to step 4:
If we divide 317 by 37, we get 8 and a remainder of 21.
The number 8 becomes the next digit in our result. 
Result so far: 258.0
If we take 296 away from 317, we end up with 21.
Include the next digit (4) from the dividend after 21, then repeat: 214 / 37

Let's proceed to step 5:
If we divide 214 by 37, we get 5 and a remainder of 29.
The next digit of our result is 5. 
Result so far: 2585.0
If we subtract 185 from 214, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 6:
When dividing 290 by 37, we get 7 with a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 2585.7
If we take 259 away from 290, we end up with 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 7:
37 goes into 310 8 times with a remainder of 14.
The next digit of our result is 8. 
Result so far: 2585.78
If we take 296 away from 310, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
When dividing 140 by 37, we get 3 with a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 2585.783
Subtract 111 from 140 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 9:
37 can be fit into 290 7 times, resulting in a remainder of 31.
The next digit of our result is 7. 
Result so far: 2585.7837
Subtract 259 from 290 to 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.

Let's proceed to step 10:
If we divide 310 by 37, we get 8 and a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 2585.78378
If we take 296 away from 310, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 11:
37 goes into 140 3 times with a remainder of 29.
Put 3 as the next digit of the answer. 
Result so far: 2585.783783
If we take 111 away from 140, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 12:
37 can be fit into 290 7 times, resulting in a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 2585.7837837
The remainder is 31 after subtracting 259 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 13:
37 can be fit into 310 8 times, resulting in a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 2585.78378378
Subtract 296 from 310 to 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.

The final result is 2585.78378378 with a remainder of 1.4e-08.