We're dividing 3588141 by 601 
We want to figure out the number of times 3588141 can be divided by 601.

Advancing to step 1:
The number 601 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 601

Going ahead to step 2:
When dividing 35 by 601, we get 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Take the next digit (8) from the dividend and append it to 35, then repeat: 358 / 601

Going ahead to step 3:
The number 601 fits into 358 0 times, leaving a remainder of 358.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 358 to get 358.
Include the next digit (8) from the dividend after 358, then repeat: 3588 / 601

On to step 4:
3588 divided by 601 is 5 with a remainder of 583.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 3005 from 3588 to get 583.
Bring next digit (1) of the dividend behind the 583 and repeat the process: 5831 / 601

Advancing to step 5:
601 goes into 5831 9 times with a remainder of 422.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
Subtract 5409 from 5831 to get 422.
Fetch the next digit (4) from the dividend, attach it to 422 and continue: 4224 / 601

Let's proceed to step 6:
4224 divided by 601 is 7 with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 597.0
Deduct 4207 from 4224 and we're left with 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 601

Moving on to step 7:
601 can be fit into 171 0 times, resulting in a remainder of 171.
Use 0 as the next digit of our solution. 
Result so far: 5970.0
If we subtract 0 from 171, we get 171.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1710, and continue the process.

Let's proceed to step 8:
The number 601 fits into 1710 2 times, leaving a remainder of 508.
Use 2 as the next digit of our solution. 
Result so far: 5970.2
Subtract 1202 from 1710 to get 508.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5080, and continue the process.

Going ahead to step 9:
601 goes into 5080 8 times with a remainder of 272.
The next digit of our result is 8. 
Result so far: 5970.28
Subtracting 4808 from 5080 leaves us with 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

Moving on to step 10:
If we divide 2720 by 601, we get 4 and a remainder of 316.
Record the quotient 4 as the next digit in the result. 
Result so far: 5970.284
The remainder is 316 after subtracting 2404 from 2720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3160, and continue the process.

On to step 11:
The number 601 fits into 3160 5 times, leaving a remainder of 155.
Record the quotient 5 as the next digit in the result. 
Result so far: 5970.2845
If we take 3005 away from 3160, we end up with 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Advancing to step 12:
If we divide 1550 by 601, we get 2 and a remainder of 348.
Record the quotient 2 as the next digit in the result. 
Result so far: 5970.28452
Subtracting 1202 from 1550 leaves us with 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Let's proceed to step 13:
3480 divided by 601 is 5 with a remainder of 475.
The number 5 becomes the next digit in our result. 
Result so far: 5970.284525
Subtract 3005 from 3480 to get 475.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4750, and continue the process.

Going ahead to step 14:
4750 divided by 601 is 7 with a remainder of 543.
The number 7 becomes the next digit in our result. 
Result so far: 5970.2845257
Subtracting 4207 from 4750 leaves us with 543.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5430, and continue the process.

Moving on to step 15:
5430 divided by 601 is 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 5970.28452579
Subtracting 5409 from 5430 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 5970.28452579, and the remainder is 2.1e-08.