We're dividing 705633 by 61 
We want to figure out the number of times 705633 can be divided by 61.

On to step 1:
7 divided by 61 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 61

Advancing to step 2:
70 divided by 61 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 61 away from 70, we end up with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 61

Going ahead to step 3:
61 can be fit into 95 1 times, resulting in a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 11.0
The remainder is 34 after subtracting 61 from 95.
Append the next digit (6) from the dividend to 34 and continue with: 346 / 61

On to step 4:
346 divided by 61 is 5 with a remainder of 41.
The next digit of our result is 5. 
Result so far: 115.0
Subtract 305 from 346 to get 41.
Take the next digit (3) from the dividend and append it to 41, then repeat: 413 / 61

Moving on to step 5:
The number 61 fits into 413 6 times, leaving a remainder of 47.
The number 6 becomes the next digit in our result. 
Result so far: 1156.0
Subtract 366 from 413 to get 47.
Append the next digit (3) from the dividend to 47 and continue with: 473 / 61

Going ahead to step 6:
61 goes into 473 7 times with a remainder of 46.
Put 7 as the next digit of the answer. 
Result so far: 11567.0
If we subtract 427 from 473, we 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.

Advancing to step 7:
61 can be fit into 460 7 times, resulting in a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 11567.7
If we take 427 away from 460, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 8:
The number 61 fits into 330 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 11567.75
If we take 305 away from 330, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
61 can be fit into 250 4 times, resulting in a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 11567.754
The remainder is 6 after subtracting 244 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
The number 61 fits into 60 0 times, leaving a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 11567.754
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 11:
If we divide 600 by 61, we get 9 and a remainder of 51.
Record the quotient 9 as the next digit in the result. 
Result so far: 11567.75409
If we take 549 away from 600, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 12:
61 can be fit into 510 8 times, resulting in a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 11567.754098
If we subtract 488 from 510, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 13:
When dividing 220 by 61, we get 3 with a remainder of 37.
The next digit of our result is 3. 
Result so far: 11567.7540983
Subtract 183 from 220 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 14:
61 goes into 370 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 11567.75409836
If we subtract 366 from 370, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 11567.75409836 and a remainder of 4e-09.