Solve 6172/93

$$\frac { 6172 } { 93 }$$

Evaluate

$$\frac{6172}{93}\approx 66.365591398$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6172

$$\begin{array}{l}\phantom{93)}\phantom{1}\\93\overline{)6172}\\\end{array}$$

Since 6 is less than 93, use the next digit 1 from dividend 6172 and add 0 to the quotient

$$\begin{array}{l}\phantom{93)}0\phantom{2}\\93\overline{)6172}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 6172

$$\begin{array}{l}\phantom{93)}0\phantom{3}\\93\overline{)6172}\\\end{array}$$

Since 61 is less than 93, use the next digit 7 from dividend 6172 and add 0 to the quotient

$$\begin{array}{l}\phantom{93)}00\phantom{4}\\93\overline{)6172}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 6172

$$\begin{array}{l}\phantom{93)}00\phantom{5}\\93\overline{)6172}\\\end{array}$$

Find closest multiple of 93 to 617. We see that 6 \times 93 = 558 is the nearest. Now subtract 558 from 617 to get reminder 59. Add 6 to quotient.

$$\begin{array}{l}\phantom{93)}006\phantom{6}\\93\overline{)6172}\\\phantom{93)}\underline{\phantom{}558\phantom{9}}\\\phantom{93)9}59\\\end{array}$$

Use the 4^{th} digit 2 from dividend 6172

$$\begin{array}{l}\phantom{93)}006\phantom{7}\\93\overline{)6172}\\\phantom{93)}\underline{\phantom{}558\phantom{9}}\\\phantom{93)9}592\\\end{array}$$

Find closest multiple of 93 to 592. We see that 6 \times 93 = 558 is the nearest. Now subtract 558 from 592 to get reminder 34. Add 6 to quotient.

$$\begin{array}{l}\phantom{93)}0066\phantom{8}\\93\overline{)6172}\\\phantom{93)}\underline{\phantom{}558\phantom{9}}\\\phantom{93)9}592\\\phantom{93)}\underline{\phantom{9}558\phantom{}}\\\phantom{93)99}34\\\end{array}$$

Since 34 is less than 93, stop the division. The reminder is 34. The topmost line 0066 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 66.

$$\text{Quotient: }66 \text{Reminder: }34$$

Factor

$$\frac{2 ^ {2} \cdot 1543}{3 \cdot 31} = 66\frac{34}{93} = 66.36559139784946$$