We look at the division of 641358 by 61 
We want to divide 641358 by 61.

On to step 1:
61 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 61

Moving on to step 2:
The number 61 fits into 64 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 61 from 64 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 61

On to step 3:
31 divided by 61 is 0 with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 31 and we're left with 31.
Take the next digit (3) from the dividend and append it to 31, then repeat: 313 / 61

Step 4:
If we divide 313 by 61, we get 5 and a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we subtract 305 from 313, we get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 61

Advancing to step 5:
When dividing 85 by 61, we get 1 with a remainder of 24.
The next digit of our result is 1. 
Result so far: 1051.0
Subtract 61 from 85 to get 24.
Append the next digit (8) from the dividend to 24 and continue with: 248 / 61

Step 6:
If we divide 248 by 61, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 10514.0
Deduct 244 from 248 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
61 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 10514.0
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
400 divided by 61 is 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 10514.06
Subtract 366 from 400 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 9:
340 divided by 61 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 10514.065
Subtracting 305 from 340 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 10:
The number 61 fits into 350 5 times, leaving a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 10514.0655
Subtracting 305 from 350 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

After the division, we end up with 10514.0655 and a remainder of 0.00045.