We look at the division of 65906696 by 601 
Let's see how many times 601 fits into 65906696.

Going ahead to step 1:
When dividing 6 by 601, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 601

On to step 2:
601 can be fit into 65 0 times, resulting in a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 65 after subtracting 0 from 65.
Bring next digit (9) of the dividend behind the 65 and repeat the process: 659 / 601

Moving on to step 3:
If we divide 659 by 601, we get 1 and a remainder of 58.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 601 from 659, we get 58.
Take the next digit (0) from the dividend and append it to 58, then repeat: 580 / 601

On to step 4:
601 goes into 580 0 times with a remainder of 580.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 580 after subtracting 0 from 580.
Append the next digit (6) from the dividend to 580 and continue with: 5806 / 601

Step 5:
When dividing 5806 by 601, we get 9 with a remainder of 397.
Use 9 as the next digit of our solution. 
Result so far: 109.0
The remainder is 397 after subtracting 5409 from 5806.
Append the next digit (6) from the dividend to 397 and continue with: 3976 / 601

Let's proceed to step 6:
3976 divided by 601 is 6 with a remainder of 370.
The next digit of our result is 6. 
Result so far: 1096.0
Subtract 3606 from 3976 to get 370.
Grab the next digit (9) from the dividend, add it to 370, then carry on: 3709 / 601

Moving on to step 7:
3709 divided by 601 is 6 with a remainder of 103.
Record the quotient 6 as the next digit in the result. 
Result so far: 10966.0
Deduct 3606 from 3709 and we're left with 103.
Bring next digit (6) of the dividend behind the 103 and repeat the process: 1036 / 601

Step 8:
The number 601 fits into 1036 1 times, leaving a remainder of 435.
The next digit of our result is 1. 
Result so far: 109661.0
If we take 601 away from 1036, we end up with 435.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4350, and continue the process.

Going ahead to step 9:
If we divide 4350 by 601, we get 7 and a remainder of 143.
Use 7 as the next digit of our solution. 
Result so far: 109661.7
Deduct 4207 from 4350 and we're left with 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Step 10:
When dividing 1430 by 601, we get 2 with a remainder of 228.
The next digit of our result is 2. 
Result so far: 109661.72
If we take 1202 away from 1430, we end up with 228.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

Advancing to step 11:
2280 divided by 601 is 3 with a remainder of 477.
Use 3 as the next digit of our solution. 
Result so far: 109661.723
Deduct 1803 from 2280 and we're left with 477.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4770, and continue the process.

Moving on to step 12:
601 can be fit into 4770 7 times, resulting in a remainder of 563.
The next digit of our result is 7. 
Result so far: 109661.7237
If we subtract 4207 from 4770, we get 563.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5630, and continue the process.

Step 13:
601 goes into 5630 9 times with a remainder of 221.
Record the quotient 9 as the next digit in the result. 
Result so far: 109661.72379
If we take 5409 away from 5630, we end up with 221.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2210, and continue the process.

On to step 14:
If we divide 2210 by 601, we get 3 and a remainder of 407.
The next digit of our result is 3. 
Result so far: 109661.723793
If we take 1803 away from 2210, we end up with 407.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4070, and continue the process.

Advancing to step 15:
If we divide 4070 by 601, we get 6 and a remainder of 464.
Record the quotient 6 as the next digit in the result. 
Result so far: 109661.7237936
Subtract 3606 from 4070 to get 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Let's proceed to step 16:
If we divide 4640 by 601, we get 7 and a remainder of 433.
Use 7 as the next digit of our solution. 
Result so far: 109661.72379367
If we subtract 4207 from 4640, we get 433.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4330, and continue the process.

The final result is 109661.72379367 with a remainder of 4.33e-07.