Solve 7666div58

$$7666 \div 58$$

Evaluate

$$\frac{3833}{29}\approx 132.172413793$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7666

$$\begin{array}{l}\phantom{58)}\phantom{1}\\58\overline{)7666}\\\end{array}$$

Since 7 is less than 58, use the next digit 6 from dividend 7666 and add 0 to the quotient

$$\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)7666}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 7666

$$\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)7666}\\\end{array}$$

Find closest multiple of 58 to 76. We see that 1 \times 58 = 58 is the nearest. Now subtract 58 from 76 to get reminder 18. Add 1 to quotient.

$$\begin{array}{l}\phantom{58)}01\phantom{4}\\58\overline{)7666}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}18\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 7666

$$\begin{array}{l}\phantom{58)}01\phantom{5}\\58\overline{)7666}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}186\\\end{array}$$

Find closest multiple of 58 to 186. We see that 3 \times 58 = 174 is the nearest. Now subtract 174 from 186 to get reminder 12. Add 3 to quotient.

$$\begin{array}{l}\phantom{58)}013\phantom{6}\\58\overline{)7666}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}186\\\phantom{58)}\underline{\phantom{}174\phantom{9}}\\\phantom{58)9}12\\\end{array}$$

Use the 4^{th} digit 6 from dividend 7666

$$\begin{array}{l}\phantom{58)}013\phantom{7}\\58\overline{)7666}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}186\\\phantom{58)}\underline{\phantom{}174\phantom{9}}\\\phantom{58)9}126\\\end{array}$$

Find closest multiple of 58 to 126. We see that 2 \times 58 = 116 is the nearest. Now subtract 116 from 126 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{58)}0132\phantom{8}\\58\overline{)7666}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}186\\\phantom{58)}\underline{\phantom{}174\phantom{9}}\\\phantom{58)9}126\\\phantom{58)}\underline{\phantom{9}116\phantom{}}\\\phantom{58)99}10\\\end{array}$$

Since 10 is less than 58, stop the division. The reminder is 10. The topmost line 0132 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 132.

$$\text{Quotient: }132 \text{Reminder: }10$$

Factor

$$\frac{3833}{29} = 132\frac{5}{29} = 132.17241379310346$$