Solve 1954div52=

$$1954 \div 52 =$$

Evaluate

$$\frac{977}{26}\approx 37.576923077$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1954

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)1954}\\\end{array}$$

Since 1 is less than 52, use the next digit 9 from dividend 1954 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)1954}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 1954

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)1954}\\\end{array}$$

Since 19 is less than 52, use the next digit 5 from dividend 1954 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)1954}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1954

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)1954}\\\end{array}$$

Find closest multiple of 52 to 195. We see that 3 \times 52 = 156 is the nearest. Now subtract 156 from 195 to get reminder 39. Add 3 to quotient.

$$\begin{array}{l}\phantom{52)}003\phantom{6}\\52\overline{)1954}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}39\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1954

$$\begin{array}{l}\phantom{52)}003\phantom{7}\\52\overline{)1954}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}394\\\end{array}$$

Find closest multiple of 52 to 394. We see that 7 \times 52 = 364 is the nearest. Now subtract 364 from 394 to get reminder 30. Add 7 to quotient.

$$\begin{array}{l}\phantom{52)}0037\phantom{8}\\52\overline{)1954}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}394\\\phantom{52)}\underline{\phantom{9}364\phantom{}}\\\phantom{52)99}30\\\end{array}$$

Since 30 is less than 52, stop the division. The reminder is 30. The topmost line 0037 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 37.

$$\text{Quotient: }37 \text{Reminder: }30$$

Factor

$$\frac{977}{2 \cdot 13} = 37\frac{15}{26} = 37.57692307692308$$