35761 ÷ 37 
We're looking to find how many times 37 goes into 35761.

Let's proceed to step 1:
If we divide 3 by 37, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 37

Moving on to step 2:
37 can be fit into 35 0 times, resulting in a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Include the next digit (7) from the dividend after 35, then repeat: 357 / 37

On to step 3:
357 divided by 37 is 9 with a remainder of 24.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 333 away from 357, we end up with 24.
Grab the next digit (6) from the dividend, add it to 24, then carry on: 246 / 37

Step 4:
246 divided by 37 is 6 with a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
The remainder is 24 after subtracting 222 from 246.
Take the next digit (1) from the dividend and append it to 24, then repeat: 241 / 37

Advancing to step 5:
37 can be fit into 241 6 times, resulting in a remainder of 19.
The next digit of our result is 6. 
Result so far: 966.0
Deduct 222 from 241 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.

Step 6:
190 divided by 37 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 966.5
Subtracting 185 from 190 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
If we divide 50 by 37, we get 1 and a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 966.51
The remainder is 13 after subtracting 37 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
37 can be fit into 130 3 times, resulting in a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 966.513
Subtract 111 from 130 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 9:
37 goes into 190 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 966.5135
Subtract 185 from 190 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
37 can be fit into 50 1 times, resulting in a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 966.51351
If we take 37 away from 50, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 11:
37 can be fit into 130 3 times, resulting in a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 966.513513
If we take 111 away from 130, we end up 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.

Going ahead to step 12:
The number 37 fits into 190 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 966.5135135
Subtracting 185 from 190 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
50 divided by 37 is 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 966.51351351
Subtracting 37 from 50 leaves us with 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 966.51351351 with a remainder of 1.3e-08.