Solve 4312/75

$$\frac{ 4312 }{ 75 }$$

Evaluate

$$\frac{4312}{75}\approx 57.493333333$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4312

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)4312}\\\end{array}$$

Since 4 is less than 75, use the next digit 3 from dividend 4312 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)4312}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 4312

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)4312}\\\end{array}$$

Since 43 is less than 75, use the next digit 1 from dividend 4312 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)4312}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 4312

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)4312}\\\end{array}$$

Find closest multiple of 75 to 431. We see that 5 \times 75 = 375 is the nearest. Now subtract 375 from 431 to get reminder 56. Add 5 to quotient.

$$\begin{array}{l}\phantom{75)}005\phantom{6}\\75\overline{)4312}\\\phantom{75)}\underline{\phantom{}375\phantom{9}}\\\phantom{75)9}56\\\end{array}$$

Use the 4^{th} digit 2 from dividend 4312

$$\begin{array}{l}\phantom{75)}005\phantom{7}\\75\overline{)4312}\\\phantom{75)}\underline{\phantom{}375\phantom{9}}\\\phantom{75)9}562\\\end{array}$$

Find closest multiple of 75 to 562. We see that 7 \times 75 = 525 is the nearest. Now subtract 525 from 562 to get reminder 37. Add 7 to quotient.

$$\begin{array}{l}\phantom{75)}0057\phantom{8}\\75\overline{)4312}\\\phantom{75)}\underline{\phantom{}375\phantom{9}}\\\phantom{75)9}562\\\phantom{75)}\underline{\phantom{9}525\phantom{}}\\\phantom{75)99}37\\\end{array}$$

Since 37 is less than 75, stop the division. The reminder is 37. The topmost line 0057 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 57.

$$\text{Quotient: }57 \text{Reminder: }37$$

Factor

$$\frac{2 ^ {3} \cdot 7 ^ {2} \cdot 11}{3 \cdot 5 ^ {2}} = 57\frac{37}{75} = 57.49333333333333$$