Solve 75545:291=

$$75545 : 291 =$$

Evaluate

$$\frac{75545}{291}\approx 259.604810997$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 75545

$$\begin{array}{l}\phantom{291)}\phantom{1}\\291\overline{)75545}\\\end{array}$$

Since 7 is less than 291, use the next digit 5 from dividend 75545 and add 0 to the quotient

$$\begin{array}{l}\phantom{291)}0\phantom{2}\\291\overline{)75545}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 75545

$$\begin{array}{l}\phantom{291)}0\phantom{3}\\291\overline{)75545}\\\end{array}$$

Since 75 is less than 291, use the next digit 5 from dividend 75545 and add 0 to the quotient

$$\begin{array}{l}\phantom{291)}00\phantom{4}\\291\overline{)75545}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 75545

$$\begin{array}{l}\phantom{291)}00\phantom{5}\\291\overline{)75545}\\\end{array}$$

Find closest multiple of 291 to 755. We see that 2 \times 291 = 582 is the nearest. Now subtract 582 from 755 to get reminder 173. Add 2 to quotient.

$$\begin{array}{l}\phantom{291)}002\phantom{6}\\291\overline{)75545}\\\phantom{291)}\underline{\phantom{}582\phantom{99}}\\\phantom{291)}173\\\end{array}$$

Use the 4^{th} digit 4 from dividend 75545

$$\begin{array}{l}\phantom{291)}002\phantom{7}\\291\overline{)75545}\\\phantom{291)}\underline{\phantom{}582\phantom{99}}\\\phantom{291)}1734\\\end{array}$$

Find closest multiple of 291 to 1734. We see that 5 \times 291 = 1455 is the nearest. Now subtract 1455 from 1734 to get reminder 279. Add 5 to quotient.

$$\begin{array}{l}\phantom{291)}0025\phantom{8}\\291\overline{)75545}\\\phantom{291)}\underline{\phantom{}582\phantom{99}}\\\phantom{291)}1734\\\phantom{291)}\underline{\phantom{}1455\phantom{9}}\\\phantom{291)9}279\\\end{array}$$

Use the 5^{th} digit 5 from dividend 75545

$$\begin{array}{l}\phantom{291)}0025\phantom{9}\\291\overline{)75545}\\\phantom{291)}\underline{\phantom{}582\phantom{99}}\\\phantom{291)}1734\\\phantom{291)}\underline{\phantom{}1455\phantom{9}}\\\phantom{291)9}2795\\\end{array}$$

Find closest multiple of 291 to 2795. We see that 9 \times 291 = 2619 is the nearest. Now subtract 2619 from 2795 to get reminder 176. Add 9 to quotient.

$$\begin{array}{l}\phantom{291)}00259\phantom{10}\\291\overline{)75545}\\\phantom{291)}\underline{\phantom{}582\phantom{99}}\\\phantom{291)}1734\\\phantom{291)}\underline{\phantom{}1455\phantom{9}}\\\phantom{291)9}2795\\\phantom{291)}\underline{\phantom{9}2619\phantom{}}\\\phantom{291)99}176\\\end{array}$$

Since 176 is less than 291, stop the division. The reminder is 176. The topmost line 00259 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 259.

$$\text{Quotient: }259 \text{Reminder: }176$$

Factor

$$\frac{5 \cdot 29 \cdot 521}{3 \cdot 97} = 259\frac{176}{291} = 259.6048109965636$$