69859032 ÷ 601 
We want to figure out the number of times 69859032 can be divided by 601.

Step 1:
6 divided by 601 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 601

Moving on to step 2:
601 goes into 69 0 times with a remainder of 69.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 69 after subtracting 0 from 69.
Append the next digit (8) from the dividend to 69 and continue with: 698 / 601

Advancing to step 3:
The number 601 fits into 698 1 times, leaving a remainder of 97.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 97 after subtracting 601 from 698.
Grab the next digit (5) from the dividend, add it to 97, then carry on: 975 / 601

Moving on to step 4:
If we divide 975 by 601, we get 1 and a remainder of 374.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtract 601 from 975 to get 374.
Bring next digit (9) of the dividend behind the 374 and repeat the process: 3749 / 601

Going ahead to step 5:
3749 divided by 601 is 6 with a remainder of 143.
Write down 6 as next digit of the result. 
Result so far: 116.0
If we take 3606 away from 3749, we end up with 143.
Fetch the next digit (0) from the dividend, attach it to 143 and continue: 1430 / 601

Let's proceed to step 6:
601 goes into 1430 2 times with a remainder of 228.
Use 2 as the next digit of our solution. 
Result so far: 1162.0
Subtracting 1202 from 1430 leaves us with 228.
Include the next digit (3) from the dividend after 228, then repeat: 2283 / 601

Going ahead to step 7:
601 goes into 2283 3 times with a remainder of 480.
Write down 3 as next digit of the result. 
Result so far: 11623.0
If we take 1803 away from 2283, we end up with 480.
Fetch the next digit (2) from the dividend, attach it to 480 and continue: 4802 / 601

On to step 8:
601 can be fit into 4802 7 times, resulting in a remainder of 595.
Use 7 as the next digit of our solution. 
Result so far: 116237.0
Deduct 4207 from 4802 and we're left with 595.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5950, and continue the process.

Moving on to step 9:
5950 divided by 601 is 9 with a remainder of 541.
The next digit of our result is 9. 
Result so far: 116237.9
The remainder is 541 after subtracting 5409 from 5950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5410, and continue the process.

Advancing to step 10:
The number 601 fits into 5410 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 116237.99
Subtracting 5409 from 5410 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 116237.99, and the remainder is 0.001.