Solve 7830/58

$$\frac { 7830 } { 58 }$$

Evaluate

$$135$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7830

$$\begin{array}{l}\phantom{58)}\phantom{1}\\58\overline{)7830}\\\end{array}$$

Since 7 is less than 58, use the next digit 8 from dividend 7830 and add 0 to the quotient

$$\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)7830}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 7830

$$\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)7830}\\\end{array}$$

Find closest multiple of 58 to 78. We see that 1 \times 58 = 58 is the nearest. Now subtract 58 from 78 to get reminder 20. Add 1 to quotient.

$$\begin{array}{l}\phantom{58)}01\phantom{4}\\58\overline{)7830}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}20\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 7830

$$\begin{array}{l}\phantom{58)}01\phantom{5}\\58\overline{)7830}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}203\\\end{array}$$

Find closest multiple of 58 to 203. We see that 3 \times 58 = 174 is the nearest. Now subtract 174 from 203 to get reminder 29. Add 3 to quotient.

$$\begin{array}{l}\phantom{58)}013\phantom{6}\\58\overline{)7830}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}203\\\phantom{58)}\underline{\phantom{}174\phantom{9}}\\\phantom{58)9}29\\\end{array}$$

Use the 4^{th} digit 0 from dividend 7830

$$\begin{array}{l}\phantom{58)}013\phantom{7}\\58\overline{)7830}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}203\\\phantom{58)}\underline{\phantom{}174\phantom{9}}\\\phantom{58)9}290\\\end{array}$$

Find closest multiple of 58 to 290. We see that 5 \times 58 = 290 is the nearest. Now subtract 290 from 290 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{58)}0135\phantom{8}\\58\overline{)7830}\\\phantom{58)}\underline{\phantom{}58\phantom{99}}\\\phantom{58)}203\\\phantom{58)}\underline{\phantom{}174\phantom{9}}\\\phantom{58)9}290\\\phantom{58)}\underline{\phantom{9}290\phantom{}}\\\phantom{58)9999}0\\\end{array}$$

Since 0 is less than 58, stop the division. The reminder is 0. The topmost line 0135 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 135.

$$\text{Quotient: }135 \text{Reminder: }0$$

Factor

$$3^{3}\times 5$$