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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 988 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.76063 ÷ 96 =
  2. 2.1243 ÷ 8 =
  3. 3.703999 ÷ 897 =
  4. 4.92234 ÷ 96 =
  5. 5.211064 ÷ 988 =
  6. 6.98693 ÷ 98 =
  7. 7.948155 ÷ 897 =
  8. 8.816535 ÷ 997 =
  9. 9.709607 ÷ 989 =
  10. 10.3828 ÷ 89 =
  11. 11.73586 ÷ 98 =
  12. 12.87139 ÷ 96 =
  13. 13.587614 ÷ 988 =
  14. 14.57929 ÷ 897 =
  15. 15.614728 ÷ 988 =
  16. 16.175817 ÷ 988 =
  17. 17.29927 ÷ 989 =
  18. 18.8891 ÷ 97 =
  19. 19.682914 ÷ 997 =
  20. 20.52275 ÷ 98 =
  21. 21.200524 ÷ 989 =
  22. 22.573724 ÷ 998 =
  23. 23.501157 ÷ 989 =
  24. 24.143609 ÷ 897 =
  25. 25.694942 ÷ 997 =
  26. 26.65402 ÷ 989 =
  27. 27.9863 ÷ 8 =
  28. 28.99259 ÷ 88 =
  29. 29.2524 ÷ 8 =
  30. 30.3661 ÷ 8 =
  31. 31.80603 ÷ 97 =
  32. 32.93463 ÷ 96 =
  33. 33.8717 ÷ 8 =
  34. 34.999951 ÷ 997 =
  35. 35.843227 ÷ 989 =
  36. 36.144047 ÷ 998 =
  37. 37.12135 ÷ 96 =
  38. 38.89015 ÷ 96 =
  39. 39.774741 ÷ 989 =
  40. 40.40034 ÷ 997 =

Answer key

  1. 792 rem 31
  2. 155 rem 3
  3. 784 rem 751
  4. 960 rem 74
  5. 213 rem 620
  6. 1007 rem 7
  7. 1057 rem 26
  8. 818 rem 989
  9. 717 rem 494
  10. 43 rem 1
  11. 750 rem 86
  12. 907 rem 67
  13. 594 rem 742
  14. 64 rem 521
  15. 622 rem 192
  16. 177 rem 941
  17. 30 rem 257
  18. 91 rem 64
  19. 684 rem 966
  20. 533 rem 41
  21. 202 rem 746
  22. 574 rem 872
  23. 506 rem 723
  24. 160 rem 89
  25. 697 rem 33
  26. 66 rem 128
  27. 1232 rem 7
  28. 1127 rem 83
  29. 315 rem 4
  30. 457 rem 5
  31. 830 rem 93
  32. 973 rem 55
  33. 1089 rem 5
  34. 1002 rem 957
  35. 852 rem 599
  36. 144 rem 335
  37. 126 rem 39
  38. 927 rem 23
  39. 783 rem 354
  40. 40 rem 154

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