Solve 123457/255

$$123457 / 255$$

Evaluate

$$\frac{123457}{255}\approx 484.145098039$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 123457

$$\begin{array}{l}\phantom{255)}\phantom{1}\\255\overline{)123457}\\\end{array}$$

Since 1 is less than 255, use the next digit 2 from dividend 123457 and add 0 to the quotient

$$\begin{array}{l}\phantom{255)}0\phantom{2}\\255\overline{)123457}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 123457

$$\begin{array}{l}\phantom{255)}0\phantom{3}\\255\overline{)123457}\\\end{array}$$

Since 12 is less than 255, use the next digit 3 from dividend 123457 and add 0 to the quotient

$$\begin{array}{l}\phantom{255)}00\phantom{4}\\255\overline{)123457}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 123457

$$\begin{array}{l}\phantom{255)}00\phantom{5}\\255\overline{)123457}\\\end{array}$$

Since 123 is less than 255, use the next digit 4 from dividend 123457 and add 0 to the quotient

$$\begin{array}{l}\phantom{255)}000\phantom{6}\\255\overline{)123457}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 123457

$$\begin{array}{l}\phantom{255)}000\phantom{7}\\255\overline{)123457}\\\end{array}$$

Find closest multiple of 255 to 1234. We see that 4 \times 255 = 1020 is the nearest. Now subtract 1020 from 1234 to get reminder 214. Add 4 to quotient.

$$\begin{array}{l}\phantom{255)}0004\phantom{8}\\255\overline{)123457}\\\phantom{255)}\underline{\phantom{}1020\phantom{99}}\\\phantom{255)9}214\\\end{array}$$

Use the 5^{th} digit 5 from dividend 123457

$$\begin{array}{l}\phantom{255)}0004\phantom{9}\\255\overline{)123457}\\\phantom{255)}\underline{\phantom{}1020\phantom{99}}\\\phantom{255)9}2145\\\end{array}$$

Find closest multiple of 255 to 2145. We see that 8 \times 255 = 2040 is the nearest. Now subtract 2040 from 2145 to get reminder 105. Add 8 to quotient.

$$\begin{array}{l}\phantom{255)}00048\phantom{10}\\255\overline{)123457}\\\phantom{255)}\underline{\phantom{}1020\phantom{99}}\\\phantom{255)9}2145\\\phantom{255)}\underline{\phantom{9}2040\phantom{9}}\\\phantom{255)99}105\\\end{array}$$

Use the 6^{th} digit 7 from dividend 123457

$$\begin{array}{l}\phantom{255)}00048\phantom{11}\\255\overline{)123457}\\\phantom{255)}\underline{\phantom{}1020\phantom{99}}\\\phantom{255)9}2145\\\phantom{255)}\underline{\phantom{9}2040\phantom{9}}\\\phantom{255)99}1057\\\end{array}$$

Find closest multiple of 255 to 1057. We see that 4 \times 255 = 1020 is the nearest. Now subtract 1020 from 1057 to get reminder 37. Add 4 to quotient.

$$\begin{array}{l}\phantom{255)}000484\phantom{12}\\255\overline{)123457}\\\phantom{255)}\underline{\phantom{}1020\phantom{99}}\\\phantom{255)9}2145\\\phantom{255)}\underline{\phantom{9}2040\phantom{9}}\\\phantom{255)99}1057\\\phantom{255)}\underline{\phantom{99}1020\phantom{}}\\\phantom{255)9999}37\\\end{array}$$

Since 37 is less than 255, stop the division. The reminder is 37. The topmost line 000484 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 484.

$$\text{Quotient: }484 \text{Reminder: }37$$

Factor

$$\frac{123457}{3 \cdot 5 \cdot 17} = 484\frac{37}{255} = 484.14509803921567$$