We look at the division of 61126089 by 601 
Our goal is to divide 61126089 by 601.

Advancing to step 1:
When dividing 6 by 601, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 601

Moving on to step 2:
When dividing 61 by 601, we get 0 with a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 61 leaves us with 61.
Fetch the next digit (1) from the dividend, attach it to 61 and continue: 611 / 601

On to step 3:
The number 601 fits into 611 1 times, leaving a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 601 from 611 leaves us with 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 601

On to step 4:
601 goes into 102 0 times with a remainder of 102.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 102 to get 102.
Include the next digit (6) from the dividend after 102, then repeat: 1026 / 601

Moving on to step 5:
If we divide 1026 by 601, we get 1 and a remainder of 425.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
Subtract 601 from 1026 to get 425.
Take the next digit (0) from the dividend and append it to 425, then repeat: 4250 / 601

Let's proceed to step 6:
When dividing 4250 by 601, we get 7 with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 1017.0
If we subtract 4207 from 4250, we get 43.
Include the next digit (8) from the dividend after 43, then repeat: 438 / 601

Let's proceed to step 7:
601 can be fit into 438 0 times, resulting in a remainder of 438.
Record the quotient 0 as the next digit in the result. 
Result so far: 10170.0
If we subtract 0 from 438, we get 438.
Include the next digit (9) from the dividend after 438, then repeat: 4389 / 601

Going ahead to step 8:
The number 601 fits into 4389 7 times, leaving a remainder of 182.
Put 7 as the next digit of the answer. 
Result so far: 101707.0
If we subtract 4207 from 4389, we get 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Moving on to step 9:
If we divide 1820 by 601, we get 3 and a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 101707.3
If we take 1803 away from 1820, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 10:
601 goes into 170 0 times with a remainder of 170.
Record the quotient 0 as the next digit in the result. 
Result so far: 101707.3
If we subtract 0 from 170, we get 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Going ahead to step 11:
When dividing 1700 by 601, we get 2 with a remainder of 498.
The number 2 becomes the next digit in our result. 
Result so far: 101707.302
Subtract 1202 from 1700 to get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

Moving on to step 12:
The number 601 fits into 4980 8 times, leaving a remainder of 172.
Put 8 as the next digit of the answer. 
Result so far: 101707.3028
Subtracting 4808 from 4980 leaves us with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Moving on to step 13:
1720 divided by 601 is 2 with a remainder of 518.
Record the quotient 2 as the next digit in the result. 
Result so far: 101707.30282
If we take 1202 away from 1720, we end up with 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5180, and continue the process.

On to step 14:
If we divide 5180 by 601, we get 8 and a remainder of 372.
The next digit of our result is 8. 
Result so far: 101707.302828
If we subtract 4808 from 5180, we get 372.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

On to step 15:
The number 601 fits into 3720 6 times, leaving a remainder of 114.
Record the quotient 6 as the next digit in the result. 
Result so far: 101707.3028286
The remainder is 114 after subtracting 3606 from 3720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

Advancing to step 16:
601 goes into 1140 1 times with a remainder of 539.
Write down 1 as next digit of the result. 
Result so far: 101707.30282861
Subtract 601 from 1140 to get 539.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5390, and continue the process.

Our division results in 101707.30282861 with a remaining 5.39e-07.