876742 ÷ 59 
We're looking to find how many times 59 goes into 876742.

Moving on to step 1:
If we divide 8 by 59, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 59

Let's proceed to step 2:
If we divide 87 by 59, we get 1 and a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 59 from 87 to get 28.
Bring next digit (6) of the dividend behind the 28 and repeat the process: 286 / 59

Advancing to step 3:
59 can be fit into 286 4 times, resulting in a remainder of 50.
The next digit of our result is 4. 
Result so far: 14.0
If we take 236 away from 286, we end up with 50.
Take the next digit (7) from the dividend and append it to 50, then repeat: 507 / 59

On to step 4:
When dividing 507 by 59, we get 8 with a remainder of 35.
Record the quotient 8 as the next digit in the result. 
Result so far: 148.0
Deduct 472 from 507 and we're left with 35.
Fetch the next digit (4) from the dividend, attach it to 35 and continue: 354 / 59

Step 5:
If we divide 354 by 59, we get 6 and a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 1486.0
The remainder is 0 after subtracting 354 from 354.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 59

Moving on to step 6:
2 divided by 59 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 14860.0
If we subtract 0 from 2, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
If we divide 20 by 59, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 14860.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
The number 59 fits into 200 3 times, leaving a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 14860.03
If we subtract 177 from 200, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 9:
230 divided by 59 is 3 with a remainder of 53.
Use 3 as the next digit of our solution. 
Result so far: 14860.033
Deduct 177 from 230 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Our division results in 14860.033 with a remaining 0.0053.