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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 747 · 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. 1.96872 ÷ 96 =
  2. 2.888708 ÷ 988 =
  3. 3.283590 ÷ 997 =
  4. 4.68594 ÷ 88 =
  5. 5.14085 ÷ 98 =
  6. 6.390 ÷ 8 =
  7. 7.155478 ÷ 989 =
  8. 8.26710 ÷ 97 =
  9. 9.55914 ÷ 88 =
  10. 10.994095 ÷ 897 =
  11. 11.40792 ÷ 97 =
  12. 12.14578 ÷ 98 =
  13. 13.16444 ÷ 88 =
  14. 14.715156 ÷ 989 =
  15. 15.77167 ÷ 98 =
  16. 16.116681 ÷ 997 =
  17. 17.886291 ÷ 988 =
  18. 18.679760 ÷ 988 =
  19. 19.129523 ÷ 998 =
  20. 20.547687 ÷ 897 =
  21. 21.59216 ÷ 89 =
  22. 22.50639 ÷ 98 =
  23. 23.74736 ÷ 97 =
  24. 24.7346 ÷ 97 =
  25. 25.2741 ÷ 8 =
  26. 26.74139 ÷ 88 =
  27. 27.67828 ÷ 96 =
  28. 28.639868 ÷ 997 =
  29. 29.99040 ÷ 97 =
  30. 30.29540 ÷ 88 =
  31. 31.44804 ÷ 98 =
  32. 32.10045 ÷ 97 =
  33. 33.766686 ÷ 998 =
  34. 34.8072 ÷ 8 =
  35. 35.94735 ÷ 97 =
  36. 36.48061 ÷ 989 =
  37. 37.295047 ÷ 997 =
  38. 38.428941 ÷ 989 =
  39. 39.68687 ÷ 89 =
  40. 40.106319 ÷ 989 =

Answer key

  1. 1009 rem 8
  2. 899 rem 496
  3. 284 rem 442
  4. 779 rem 42
  5. 143 rem 71
  6. 48 rem 6
  7. 157 rem 205
  8. 275 rem 35
  9. 635 rem 34
  10. 1108 rem 219
  11. 420 rem 52
  12. 148 rem 74
  13. 186 rem 76
  14. 723 rem 109
  15. 787 rem 41
  16. 117 rem 32
  17. 897 rem 55
  18. 688 rem 16
  19. 129 rem 781
  20. 610 rem 517
  21. 665 rem 31
  22. 516 rem 71
  23. 770 rem 46
  24. 75 rem 71
  25. 342 rem 5
  26. 842 rem 43
  27. 706 rem 52
  28. 641 rem 791
  29. 1021 rem 3
  30. 335 rem 60
  31. 457 rem 18
  32. 103 rem 54
  33. 768 rem 222
  34. 1009 rem 0
  35. 976 rem 63
  36. 48 rem 589
  37. 295 rem 932
  38. 433 rem 704
  39. 771 rem 68
  40. 107 rem 496

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