Solve 1768:52=

$$1768 : 52 =$$

Evaluate

$$34$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1768

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)1768}\\\end{array}$$

Since 1 is less than 52, use the next digit 7 from dividend 1768 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)1768}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 1768

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)1768}\\\end{array}$$

Since 17 is less than 52, use the next digit 6 from dividend 1768 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)1768}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1768

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)1768}\\\end{array}$$

Find closest multiple of 52 to 176. We see that 3 \times 52 = 156 is the nearest. Now subtract 156 from 176 to get reminder 20. Add 3 to quotient.

$$\begin{array}{l}\phantom{52)}003\phantom{6}\\52\overline{)1768}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}20\\\end{array}$$

Use the 4^{th} digit 8 from dividend 1768

$$\begin{array}{l}\phantom{52)}003\phantom{7}\\52\overline{)1768}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}208\\\end{array}$$

Find closest multiple of 52 to 208. We see that 4 \times 52 = 208 is the nearest. Now subtract 208 from 208 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{52)}0034\phantom{8}\\52\overline{)1768}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}208\\\phantom{52)}\underline{\phantom{9}208\phantom{}}\\\phantom{52)9999}0\\\end{array}$$

Since 0 is less than 52, stop the division. The reminder is 0. The topmost line 0034 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34.

$$\text{Quotient: }34 \text{Reminder: }0$$

Factor

$$2\times 17$$