Solve 1255/15

$$\frac { 1255 } { 15 }$$

Evaluate

$$\frac{251}{3}\approx 83.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1255

$$\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)1255}\\\end{array}$$

Since 1 is less than 15, use the next digit 2 from dividend 1255 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)1255}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1255

$$\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)1255}\\\end{array}$$

Since 12 is less than 15, use the next digit 5 from dividend 1255 and add 0 to the quotient

$$\begin{array}{l}\phantom{15)}00\phantom{4}\\15\overline{)1255}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1255

$$\begin{array}{l}\phantom{15)}00\phantom{5}\\15\overline{)1255}\\\end{array}$$

Find closest multiple of 15 to 125. We see that 8 \times 15 = 120 is the nearest. Now subtract 120 from 125 to get reminder 5. Add 8 to quotient.

$$\begin{array}{l}\phantom{15)}008\phantom{6}\\15\overline{)1255}\\\phantom{15)}\underline{\phantom{}120\phantom{9}}\\\phantom{15)99}5\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1255

$$\begin{array}{l}\phantom{15)}008\phantom{7}\\15\overline{)1255}\\\phantom{15)}\underline{\phantom{}120\phantom{9}}\\\phantom{15)99}55\\\end{array}$$

Find closest multiple of 15 to 55. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 55 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{15)}0083\phantom{8}\\15\overline{)1255}\\\phantom{15)}\underline{\phantom{}120\phantom{9}}\\\phantom{15)99}55\\\phantom{15)}\underline{\phantom{99}45\phantom{}}\\\phantom{15)99}10\\\end{array}$$

Since 10 is less than 15, stop the division. The reminder is 10. The topmost line 0083 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 83.

$$\text{Quotient: }83 \text{Reminder: }10$$

Factor

$$\frac{251}{3} = 83\frac{2}{3} = 83.66666666666667$$