35602 ÷ 61 
We're looking to find how many times 61 goes into 35602.

Going ahead to step 1:
When dividing 3 by 61, we get 0 with 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.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 61

Let's proceed to step 2:
The number 61 fits into 35 0 times, leaving a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Append the next digit (6) from the dividend to 35 and continue with: 356 / 61

Going ahead to step 3:
356 divided by 61 is 5 with a remainder of 51.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 305 from 356 and we're left with 51.
Bring next digit (0) of the dividend behind the 51 and repeat the process: 510 / 61

Step 4:
If we divide 510 by 61, we get 8 and a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 58.0
Deduct 488 from 510 and we're left with 22.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 61

Let's proceed to step 5:
If we divide 222 by 61, we get 3 and a remainder of 39.
Write down 3 as next digit of the result. 
Result so far: 583.0
Subtract 183 from 222 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 6:
The number 61 fits into 390 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 583.6
If we subtract 366 from 390, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
61 goes into 240 3 times with a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 583.63
Subtracting 183 from 240 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 8:
When dividing 570 by 61, we get 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 583.639
Subtracting 549 from 570 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
61 can be fit into 210 3 times, resulting in a remainder of 27.
The next digit of our result is 3. 
Result so far: 583.6393
The remainder is 27 after subtracting 183 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 10:
When dividing 270 by 61, we get 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 583.63934
If we take 244 away from 270, we end up 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.

Let's proceed to step 11:
When dividing 260 by 61, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 583.639344
Deduct 244 from 260 and we're left 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.

Our division results in 583.639344 with a remaining 1.6e-06.