Solve 7920/62

$$\frac { 7920 } { 62 }$$

Evaluate

$$\frac{3960}{31}\approx 127.741935484$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7920

$$\begin{array}{l}\phantom{62)}\phantom{1}\\62\overline{)7920}\\\end{array}$$

Since 7 is less than 62, use the next digit 9 from dividend 7920 and add 0 to the quotient

$$\begin{array}{l}\phantom{62)}0\phantom{2}\\62\overline{)7920}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 7920

$$\begin{array}{l}\phantom{62)}0\phantom{3}\\62\overline{)7920}\\\end{array}$$

Find closest multiple of 62 to 79. We see that 1 \times 62 = 62 is the nearest. Now subtract 62 from 79 to get reminder 17. Add 1 to quotient.

$$\begin{array}{l}\phantom{62)}01\phantom{4}\\62\overline{)7920}\\\phantom{62)}\underline{\phantom{}62\phantom{99}}\\\phantom{62)}17\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 7920

$$\begin{array}{l}\phantom{62)}01\phantom{5}\\62\overline{)7920}\\\phantom{62)}\underline{\phantom{}62\phantom{99}}\\\phantom{62)}172\\\end{array}$$

Find closest multiple of 62 to 172. We see that 2 \times 62 = 124 is the nearest. Now subtract 124 from 172 to get reminder 48. Add 2 to quotient.

$$\begin{array}{l}\phantom{62)}012\phantom{6}\\62\overline{)7920}\\\phantom{62)}\underline{\phantom{}62\phantom{99}}\\\phantom{62)}172\\\phantom{62)}\underline{\phantom{}124\phantom{9}}\\\phantom{62)9}48\\\end{array}$$

Use the 4^{th} digit 0 from dividend 7920

$$\begin{array}{l}\phantom{62)}012\phantom{7}\\62\overline{)7920}\\\phantom{62)}\underline{\phantom{}62\phantom{99}}\\\phantom{62)}172\\\phantom{62)}\underline{\phantom{}124\phantom{9}}\\\phantom{62)9}480\\\end{array}$$

Find closest multiple of 62 to 480. We see that 7 \times 62 = 434 is the nearest. Now subtract 434 from 480 to get reminder 46. Add 7 to quotient.

$$\begin{array}{l}\phantom{62)}0127\phantom{8}\\62\overline{)7920}\\\phantom{62)}\underline{\phantom{}62\phantom{99}}\\\phantom{62)}172\\\phantom{62)}\underline{\phantom{}124\phantom{9}}\\\phantom{62)9}480\\\phantom{62)}\underline{\phantom{9}434\phantom{}}\\\phantom{62)99}46\\\end{array}$$

Since 46 is less than 62, stop the division. The reminder is 46. The topmost line 0127 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 127.

$$\text{Quotient: }127 \text{Reminder: }46$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2} \cdot 5 \cdot 11}{31} = 127\frac{23}{31} = 127.74193548387096$$