Solve 1761/12

$$\frac{ 1761 }{ 12 }$$

Evaluate

$$\frac{587}{4}=146.75$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1761

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1761}\\\end{array}$$

Since 1 is less than 12, use the next digit 7 from dividend 1761 and add 0 to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1761}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 1761

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1761}\\\end{array}$$

Find closest multiple of 12 to 17. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 17 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1761}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}5\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1761

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1761}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}56\\\end{array}$$

Find closest multiple of 12 to 56. We see that 4 \times 12 = 48 is the nearest. Now subtract 48 from 56 to get reminder 8. Add 4 to quotient.

$$\begin{array}{l}\phantom{12)}014\phantom{6}\\12\overline{)1761}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}56\\\phantom{12)}\underline{\phantom{9}48\phantom{9}}\\\phantom{12)99}8\\\end{array}$$

Use the 4^{th} digit 1 from dividend 1761

$$\begin{array}{l}\phantom{12)}014\phantom{7}\\12\overline{)1761}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}56\\\phantom{12)}\underline{\phantom{9}48\phantom{9}}\\\phantom{12)99}81\\\end{array}$$

Find closest multiple of 12 to 81. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 81 to get reminder 9. Add 6 to quotient.

$$\begin{array}{l}\phantom{12)}0146\phantom{8}\\12\overline{)1761}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}56\\\phantom{12)}\underline{\phantom{9}48\phantom{9}}\\\phantom{12)99}81\\\phantom{12)}\underline{\phantom{99}72\phantom{}}\\\phantom{12)999}9\\\end{array}$$

Since 9 is less than 12, stop the division. The reminder is 9. The topmost line 0146 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 146.

$$\text{Quotient: }146 \text{Reminder: }9$$

Factor

$$\frac{587}{2 ^ {2}} = 146\frac{3}{4} = 146.75$$