We look at the division of 681619 by 61 
Our goal is to divide 681619 by 61.

Going ahead to step 1:
The number 61 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 61

Advancing to step 2:
The number 61 fits into 68 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 61 away from 68, we end up with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 61

Let's proceed to step 3:
If we divide 71 by 61, we get 1 and a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 10 after subtracting 61 from 71.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 61

Advancing to step 4:
When dividing 106 by 61, we get 1 with a remainder of 45.
The next digit of our result is 1. 
Result so far: 111.0
Subtracting 61 from 106 leaves us with 45.
Append the next digit (1) from the dividend to 45 and continue with: 451 / 61

Moving on to step 5:
If we divide 451 by 61, we get 7 and a remainder of 24.
Record the quotient 7 as the next digit in the result. 
Result so far: 1117.0
Subtract 427 from 451 to get 24.
Bring next digit (9) of the dividend behind the 24 and repeat the process: 249 / 61

Let's proceed to step 6:
When dividing 249 by 61, we get 4 with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 11174.0
Deduct 244 from 249 and we're left 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.

Advancing to step 7:
50 divided by 61 is 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 11174.0
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
When dividing 500 by 61, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 11174.08
Subtracting 488 from 500 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
When dividing 120 by 61, we get 1 with a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 11174.081
Subtract 61 from 120 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 10:
When dividing 590 by 61, we get 9 with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 11174.0819
Subtracting 549 from 590 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 11:
The number 61 fits into 410 6 times, leaving a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 11174.08196
Subtract 366 from 410 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 12:
440 divided by 61 is 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 11174.081967
If we subtract 427 from 440, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 13:
61 can be fit into 130 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 11174.0819672
Subtract 122 from 130 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
80 divided by 61 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 11174.08196721
Deduct 61 from 80 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.

After the division, we end up with 11174.08196721 and a remainder of 1.9e-08.