Solve 75455/45

$$\frac{ 75455 }{ 45 }$$

Evaluate

$$\frac{15091}{9}\approx 1676.777777778$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 75455

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)75455}\\\end{array}$$

Since 7 is less than 45, use the next digit 5 from dividend 75455 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)75455}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 75455

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)75455}\\\end{array}$$

Find closest multiple of 45 to 75. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 75 to get reminder 30. Add 1 to quotient.

$$\begin{array}{l}\phantom{45)}01\phantom{4}\\45\overline{)75455}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}30\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 75455

$$\begin{array}{l}\phantom{45)}01\phantom{5}\\45\overline{)75455}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}304\\\end{array}$$

Find closest multiple of 45 to 304. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 304 to get reminder 34. Add 6 to quotient.

$$\begin{array}{l}\phantom{45)}016\phantom{6}\\45\overline{)75455}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}304\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}34\\\end{array}$$

Use the 4^{th} digit 5 from dividend 75455

$$\begin{array}{l}\phantom{45)}016\phantom{7}\\45\overline{)75455}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}304\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}345\\\end{array}$$

Find closest multiple of 45 to 345. We see that 7 \times 45 = 315 is the nearest. Now subtract 315 from 345 to get reminder 30. Add 7 to quotient.

$$\begin{array}{l}\phantom{45)}0167\phantom{8}\\45\overline{)75455}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}304\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}345\\\phantom{45)}\underline{\phantom{9}315\phantom{9}}\\\phantom{45)99}30\\\end{array}$$

Use the 5^{th} digit 5 from dividend 75455

$$\begin{array}{l}\phantom{45)}0167\phantom{9}\\45\overline{)75455}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}304\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}345\\\phantom{45)}\underline{\phantom{9}315\phantom{9}}\\\phantom{45)99}305\\\end{array}$$

Find closest multiple of 45 to 305. We see that 6 \times 45 = 270 is the nearest. Now subtract 270 from 305 to get reminder 35. Add 6 to quotient.

$$\begin{array}{l}\phantom{45)}01676\phantom{10}\\45\overline{)75455}\\\phantom{45)}\underline{\phantom{}45\phantom{999}}\\\phantom{45)}304\\\phantom{45)}\underline{\phantom{}270\phantom{99}}\\\phantom{45)9}345\\\phantom{45)}\underline{\phantom{9}315\phantom{9}}\\\phantom{45)99}305\\\phantom{45)}\underline{\phantom{99}270\phantom{}}\\\phantom{45)999}35\\\end{array}$$

Since 35 is less than 45, stop the division. The reminder is 35. The topmost line 01676 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1676.

$$\text{Quotient: }1676 \text{Reminder: }35$$

Factor

$$\frac{15091}{3 ^ {2}} = 1676\frac{7}{9} = 1676.7777777777778$$