61106698 ÷ 586 
Our goal is to divide 61106698 by 586.

Advancing to step 1:
586 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 586

Going ahead to step 2:
61 divided by 586 is 0 with a remainder of 61.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 61 and we're left with 61.
Grab the next digit (1) from the dividend, add it to 61, then carry on: 611 / 586

Going ahead to step 3:
When dividing 611 by 586, we get 1 with a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 586 from 611 and we're left with 25.
Append the next digit (0) from the dividend to 25 and continue with: 250 / 586

Advancing to step 4:
586 can be fit into 250 0 times, resulting in a remainder of 250.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 250 leaves us with 250.
Append the next digit (6) from the dividend to 250 and continue with: 2506 / 586

Let's proceed to step 5:
If we divide 2506 by 586, we get 4 and a remainder of 162.
Put 4 as the next digit of the answer. 
Result so far: 104.0
Subtracting 2344 from 2506 leaves us with 162.
Grab the next digit (6) from the dividend, add it to 162, then carry on: 1626 / 586

Going ahead to step 6:
When dividing 1626 by 586, we get 2 with a remainder of 454.
The number 2 becomes the next digit in our result. 
Result so far: 1042.0
Deduct 1172 from 1626 and we're left with 454.
Fetch the next digit (9) from the dividend, attach it to 454 and continue: 4549 / 586

Advancing to step 7:
The number 586 fits into 4549 7 times, leaving a remainder of 447.
The next digit of our result is 7. 
Result so far: 10427.0
Deduct 4102 from 4549 and we're left with 447.
Grab the next digit (8) from the dividend, add it to 447, then carry on: 4478 / 586

Advancing to step 8:
If we divide 4478 by 586, we get 7 and a remainder of 376.
Put 7 as the next digit of the answer. 
Result so far: 104277.0
Subtract 4102 from 4478 to get 376.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3760, and continue the process.

Advancing to step 9:
3760 divided by 586 is 6 with a remainder of 244.
The next digit of our result is 6. 
Result so far: 104277.6
Subtract 3516 from 3760 to get 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Step 10:
When dividing 2440 by 586, we get 4 with a remainder of 96.
Use 4 as the next digit of our solution. 
Result so far: 104277.64
Subtracting 2344 from 2440 leaves us with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Step 11:
When dividing 960 by 586, we get 1 with a remainder of 374.
Use 1 as the next digit of our solution. 
Result so far: 104277.641
Subtracting 586 from 960 leaves us with 374.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3740, and continue the process.

Moving on to step 12:
If we divide 3740 by 586, we get 6 and a remainder of 224.
The number 6 becomes the next digit in our result. 
Result so far: 104277.6416
Deduct 3516 from 3740 and we're left with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

On to step 13:
586 goes into 2240 3 times with a remainder of 482.
Put 3 as the next digit of the answer. 
Result so far: 104277.64163
If we subtract 1758 from 2240, we get 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

Step 14:
The number 586 fits into 4820 8 times, leaving a remainder of 132.
The number 8 becomes the next digit in our result. 
Result so far: 104277.641638
The remainder is 132 after subtracting 4688 from 4820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Going ahead to step 15:
586 goes into 1320 2 times with a remainder of 148.
Put 2 as the next digit of the answer. 
Result so far: 104277.6416382
Subtracting 1172 from 1320 leaves us with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Step 16:
If we divide 1480 by 586, we get 2 and a remainder of 308.
The number 2 becomes the next digit in our result. 
Result so far: 104277.64163822
If we subtract 1172 from 1480, we get 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

In conclusion, the division gives 104277.64163822 with a balance of 3.08e-07.