Solve 3355/58

$$\frac { 3355 } { 58 }$$

Evaluate

$$\frac{3355}{58}\approx 57.844827586$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3355

$$\begin{array}{l}\phantom{58)}\phantom{1}\\58\overline{)3355}\\\end{array}$$

Since 3 is less than 58, use the next digit 3 from dividend 3355 and add 0 to the quotient

$$\begin{array}{l}\phantom{58)}0\phantom{2}\\58\overline{)3355}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 3355

$$\begin{array}{l}\phantom{58)}0\phantom{3}\\58\overline{)3355}\\\end{array}$$

Since 33 is less than 58, use the next digit 5 from dividend 3355 and add 0 to the quotient

$$\begin{array}{l}\phantom{58)}00\phantom{4}\\58\overline{)3355}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3355

$$\begin{array}{l}\phantom{58)}00\phantom{5}\\58\overline{)3355}\\\end{array}$$

Find closest multiple of 58 to 335. We see that 5 \times 58 = 290 is the nearest. Now subtract 290 from 335 to get reminder 45. Add 5 to quotient.

$$\begin{array}{l}\phantom{58)}005\phantom{6}\\58\overline{)3355}\\\phantom{58)}\underline{\phantom{}290\phantom{9}}\\\phantom{58)9}45\\\end{array}$$

Use the 4^{th} digit 5 from dividend 3355

$$\begin{array}{l}\phantom{58)}005\phantom{7}\\58\overline{)3355}\\\phantom{58)}\underline{\phantom{}290\phantom{9}}\\\phantom{58)9}455\\\end{array}$$

Find closest multiple of 58 to 455. We see that 7 \times 58 = 406 is the nearest. Now subtract 406 from 455 to get reminder 49. Add 7 to quotient.

$$\begin{array}{l}\phantom{58)}0057\phantom{8}\\58\overline{)3355}\\\phantom{58)}\underline{\phantom{}290\phantom{9}}\\\phantom{58)9}455\\\phantom{58)}\underline{\phantom{9}406\phantom{}}\\\phantom{58)99}49\\\end{array}$$

Since 49 is less than 58, stop the division. The reminder is 49. The topmost line 0057 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 57.

$$\text{Quotient: }57 \text{Reminder: }49$$

Factor

$$\frac{5 \cdot 11 \cdot 61}{2 \cdot 29} = 57\frac{49}{58} = 57.8448275862069$$