Solve 34567div52

$$34567 \div 52$$

Evaluate

$$\frac{2659}{4}=664.75$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 34567

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)34567}\\\end{array}$$

Since 3 is less than 52, use the next digit 4 from dividend 34567 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)34567}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 34567

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)34567}\\\end{array}$$

Since 34 is less than 52, use the next digit 5 from dividend 34567 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)34567}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 34567

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)34567}\\\end{array}$$

Find closest multiple of 52 to 345. We see that 6 \times 52 = 312 is the nearest. Now subtract 312 from 345 to get reminder 33. Add 6 to quotient.

$$\begin{array}{l}\phantom{52)}006\phantom{6}\\52\overline{)34567}\\\phantom{52)}\underline{\phantom{}312\phantom{99}}\\\phantom{52)9}33\\\end{array}$$

Use the 4^{th} digit 6 from dividend 34567

$$\begin{array}{l}\phantom{52)}006\phantom{7}\\52\overline{)34567}\\\phantom{52)}\underline{\phantom{}312\phantom{99}}\\\phantom{52)9}336\\\end{array}$$

Find closest multiple of 52 to 336. We see that 6 \times 52 = 312 is the nearest. Now subtract 312 from 336 to get reminder 24. Add 6 to quotient.

$$\begin{array}{l}\phantom{52)}0066\phantom{8}\\52\overline{)34567}\\\phantom{52)}\underline{\phantom{}312\phantom{99}}\\\phantom{52)9}336\\\phantom{52)}\underline{\phantom{9}312\phantom{9}}\\\phantom{52)99}24\\\end{array}$$

Use the 5^{th} digit 7 from dividend 34567

$$\begin{array}{l}\phantom{52)}0066\phantom{9}\\52\overline{)34567}\\\phantom{52)}\underline{\phantom{}312\phantom{99}}\\\phantom{52)9}336\\\phantom{52)}\underline{\phantom{9}312\phantom{9}}\\\phantom{52)99}247\\\end{array}$$

Find closest multiple of 52 to 247. We see that 4 \times 52 = 208 is the nearest. Now subtract 208 from 247 to get reminder 39. Add 4 to quotient.

$$\begin{array}{l}\phantom{52)}00664\phantom{10}\\52\overline{)34567}\\\phantom{52)}\underline{\phantom{}312\phantom{99}}\\\phantom{52)9}336\\\phantom{52)}\underline{\phantom{9}312\phantom{9}}\\\phantom{52)99}247\\\phantom{52)}\underline{\phantom{99}208\phantom{}}\\\phantom{52)999}39\\\end{array}$$

Since 39 is less than 52, stop the division. The reminder is 39. The topmost line 00664 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 664.

$$\text{Quotient: }664 \text{Reminder: }39$$

Factor

$$\frac{2659}{2 ^ {2}} = 664\frac{3}{4} = 664.75$$