Solve 18632div52

$$18632 \div 52$$

Evaluate

$$\frac{4658}{13}\approx 358.307692308$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 18632

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)18632}\\\end{array}$$

Since 1 is less than 52, use the next digit 8 from dividend 18632 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)18632}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 18632

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)18632}\\\end{array}$$

Since 18 is less than 52, use the next digit 6 from dividend 18632 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)18632}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 18632

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)18632}\\\end{array}$$

Find closest multiple of 52 to 186. We see that 3 \times 52 = 156 is the nearest. Now subtract 156 from 186 to get reminder 30. Add 3 to quotient.

$$\begin{array}{l}\phantom{52)}003\phantom{6}\\52\overline{)18632}\\\phantom{52)}\underline{\phantom{}156\phantom{99}}\\\phantom{52)9}30\\\end{array}$$

Use the 4^{th} digit 3 from dividend 18632

$$\begin{array}{l}\phantom{52)}003\phantom{7}\\52\overline{)18632}\\\phantom{52)}\underline{\phantom{}156\phantom{99}}\\\phantom{52)9}303\\\end{array}$$

Find closest multiple of 52 to 303. We see that 5 \times 52 = 260 is the nearest. Now subtract 260 from 303 to get reminder 43. Add 5 to quotient.

$$\begin{array}{l}\phantom{52)}0035\phantom{8}\\52\overline{)18632}\\\phantom{52)}\underline{\phantom{}156\phantom{99}}\\\phantom{52)9}303\\\phantom{52)}\underline{\phantom{9}260\phantom{9}}\\\phantom{52)99}43\\\end{array}$$

Use the 5^{th} digit 2 from dividend 18632

$$\begin{array}{l}\phantom{52)}0035\phantom{9}\\52\overline{)18632}\\\phantom{52)}\underline{\phantom{}156\phantom{99}}\\\phantom{52)9}303\\\phantom{52)}\underline{\phantom{9}260\phantom{9}}\\\phantom{52)99}432\\\end{array}$$

Find closest multiple of 52 to 432. We see that 8 \times 52 = 416 is the nearest. Now subtract 416 from 432 to get reminder 16. Add 8 to quotient.

$$\begin{array}{l}\phantom{52)}00358\phantom{10}\\52\overline{)18632}\\\phantom{52)}\underline{\phantom{}156\phantom{99}}\\\phantom{52)9}303\\\phantom{52)}\underline{\phantom{9}260\phantom{9}}\\\phantom{52)99}432\\\phantom{52)}\underline{\phantom{99}416\phantom{}}\\\phantom{52)999}16\\\end{array}$$

Since 16 is less than 52, stop the division. The reminder is 16. The topmost line 00358 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 358.

$$\text{Quotient: }358 \text{Reminder: }16$$

Factor

$$\frac{2 \cdot 17 \cdot 137}{13} = 358\frac{4}{13} = 358.3076923076923$$