Solve 1285/99

$$\frac { 1285 } { 99 }$$

Evaluate

$$\frac{1285}{99}\approx 12.97979798$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1285

$$\begin{array}{l}\phantom{99)}\phantom{1}\\99\overline{)1285}\\\end{array}$$

Since 1 is less than 99, use the next digit 2 from dividend 1285 and add 0 to the quotient

$$\begin{array}{l}\phantom{99)}0\phantom{2}\\99\overline{)1285}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1285

$$\begin{array}{l}\phantom{99)}0\phantom{3}\\99\overline{)1285}\\\end{array}$$

Since 12 is less than 99, use the next digit 8 from dividend 1285 and add 0 to the quotient

$$\begin{array}{l}\phantom{99)}00\phantom{4}\\99\overline{)1285}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 1285

$$\begin{array}{l}\phantom{99)}00\phantom{5}\\99\overline{)1285}\\\end{array}$$

Find closest multiple of 99 to 128. We see that 1 \times 99 = 99 is the nearest. Now subtract 99 from 128 to get reminder 29. Add 1 to quotient.

$$\begin{array}{l}\phantom{99)}001\phantom{6}\\99\overline{)1285}\\\phantom{99)}\underline{\phantom{9}99\phantom{9}}\\\phantom{99)9}29\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1285

$$\begin{array}{l}\phantom{99)}001\phantom{7}\\99\overline{)1285}\\\phantom{99)}\underline{\phantom{9}99\phantom{9}}\\\phantom{99)9}295\\\end{array}$$

Find closest multiple of 99 to 295. We see that 2 \times 99 = 198 is the nearest. Now subtract 198 from 295 to get reminder 97. Add 2 to quotient.

$$\begin{array}{l}\phantom{99)}0012\phantom{8}\\99\overline{)1285}\\\phantom{99)}\underline{\phantom{9}99\phantom{9}}\\\phantom{99)9}295\\\phantom{99)}\underline{\phantom{9}198\phantom{}}\\\phantom{99)99}97\\\end{array}$$

Since 97 is less than 99, stop the division. The reminder is 97. The topmost line 0012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }97$$

Factor

$$\frac{5 \cdot 257}{3 ^ {2} \cdot 11} = 12\frac{97}{99} = 12.97979797979798$$