Solve 358/11

$$358 / 11$$

Evaluate

$$\frac{358}{11}\approx 32.545454545$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 358

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)358}\\\end{array}$$

Since 3 is less than 11, use the next digit 5 from dividend 358 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)358}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 358

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)358}\\\end{array}$$

Find closest multiple of 11 to 35. We see that 3 \times 11 = 33 is the nearest. Now subtract 33 from 35 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{11)}03\phantom{4}\\11\overline{)358}\\\phantom{11)}\underline{\phantom{}33\phantom{9}}\\\phantom{11)9}2\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 358

$$\begin{array}{l}\phantom{11)}03\phantom{5}\\11\overline{)358}\\\phantom{11)}\underline{\phantom{}33\phantom{9}}\\\phantom{11)9}28\\\end{array}$$

Find closest multiple of 11 to 28. We see that 2 \times 11 = 22 is the nearest. Now subtract 22 from 28 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{11)}032\phantom{6}\\11\overline{)358}\\\phantom{11)}\underline{\phantom{}33\phantom{9}}\\\phantom{11)9}28\\\phantom{11)}\underline{\phantom{9}22\phantom{}}\\\phantom{11)99}6\\\end{array}$$

Since 6 is less than 11, stop the division. The reminder is 6. The topmost line 032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.

$$\text{Quotient: }32 \text{Reminder: }6$$

Factor

$$\frac{2 \cdot 179}{11} = 32\frac{6}{11} = 32.54545454545455$$