Solve 1096/58

$$\frac { 1096 } { 58 }$$

Evaluate

$$\frac{548}{29}\approx 18.896551724$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1096

$$\begin{array}{l}\phantom{58)}\phantom{1}\\58\overline{)1096}\\\end{array}$$

Since 1 is less than 58, use the next digit 0 from dividend 1096 and add 0 to the quotient

$$\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)1096}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1096

$$\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)1096}\\\end{array}$$

Since 10 is less than 58, use the next digit 9 from dividend 1096 and add 0 to the quotient

$$\begin{array}{l}\phantom{58)}00\phantom{4}\\58\overline{)1096}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1096

$$\begin{array}{l}\phantom{58)}00\phantom{5}\\58\overline{)1096}\\\end{array}$$

Find closest multiple of 58 to 109. We see that 1 \times 58 = 58 is the nearest. Now subtract 58 from 109 to get reminder 51. Add 1 to quotient.

$$\begin{array}{l}\phantom{58)}001\phantom{6}\\58\overline{)1096}\\\phantom{58)}\underline{\phantom{9}58\phantom{9}}\\\phantom{58)9}51\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1096

$$\begin{array}{l}\phantom{58)}001\phantom{7}\\58\overline{)1096}\\\phantom{58)}\underline{\phantom{9}58\phantom{9}}\\\phantom{58)9}516\\\end{array}$$

Find closest multiple of 58 to 516. We see that 8 \times 58 = 464 is the nearest. Now subtract 464 from 516 to get reminder 52. Add 8 to quotient.

$$\begin{array}{l}\phantom{58)}0018\phantom{8}\\58\overline{)1096}\\\phantom{58)}\underline{\phantom{9}58\phantom{9}}\\\phantom{58)9}516\\\phantom{58)}\underline{\phantom{9}464\phantom{}}\\\phantom{58)99}52\\\end{array}$$

Since 52 is less than 58, stop the division. The reminder is 52. The topmost line 0018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.

$$\text{Quotient: }18 \text{Reminder: }52$$

Factor

$$\frac{2 ^ {2} \cdot 137}{29} = 18\frac{26}{29} = 18.896551724137932$$