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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 953 · 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. 1.726490 ÷ 988 =
  2. 2.2522 ÷ 8 =
  3. 3.924250 ÷ 997 =
  4. 4.795770 ÷ 997 =
  5. 5.408484 ÷ 988 =
  6. 6.61963 ÷ 97 =
  7. 7.396452 ÷ 997 =
  8. 8.2902 ÷ 8 =
  9. 9.18828 ÷ 97 =
  10. 10.342296 ÷ 998 =
  11. 11.650374 ÷ 988 =
  12. 12.27994 ÷ 989 =
  13. 13.4275 ÷ 8 =
  14. 14.14056 ÷ 98 =
  15. 15.82793 ÷ 89 =
  16. 16.58081 ÷ 88 =
  17. 17.63074 ÷ 988 =
  18. 18.935795 ÷ 988 =
  19. 19.21851 ÷ 98 =
  20. 20.693185 ÷ 988 =
  21. 21.354759 ÷ 998 =
  22. 22.20684 ÷ 96 =
  23. 23.796934 ÷ 989 =
  24. 24.75028 ÷ 97 =
  25. 25.41740 ÷ 98 =
  26. 26.183 ÷ 8 =
  27. 27.257873 ÷ 989 =
  28. 28.254812 ÷ 997 =
  29. 29.4697 ÷ 8 =
  30. 30.85752 ÷ 97 =
  31. 31.38815 ÷ 89 =
  32. 32.99728 ÷ 89 =
  33. 33.8800 ÷ 89 =
  34. 34.7654 ÷ 97 =
  35. 35.77946 ÷ 88 =
  36. 36.83400 ÷ 97 =
  37. 37.209334 ÷ 897 =
  38. 38.17153 ÷ 97 =
  39. 39.9197 ÷ 97 =
  40. 40.92930 ÷ 96 =

Answer key

  1. 735 rem 310
  2. 315 rem 2
  3. 927 rem 31
  4. 798 rem 164
  5. 413 rem 440
  6. 638 rem 77
  7. 397 rem 643
  8. 362 rem 6
  9. 194 rem 10
  10. 342 rem 980
  11. 658 rem 270
  12. 28 rem 302
  13. 534 rem 3
  14. 143 rem 42
  15. 930 rem 23
  16. 660 rem 1
  17. 63 rem 830
  18. 947 rem 159
  19. 222 rem 95
  20. 701 rem 597
  21. 355 rem 469
  22. 215 rem 44
  23. 805 rem 789
  24. 773 rem 47
  25. 425 rem 90
  26. 22 rem 7
  27. 260 rem 733
  28. 255 rem 577
  29. 587 rem 1
  30. 884 rem 4
  31. 436 rem 11
  32. 1120 rem 48
  33. 98 rem 78
  34. 78 rem 88
  35. 885 rem 66
  36. 859 rem 77
  37. 233 rem 333
  38. 176 rem 81
  39. 94 rem 79
  40. 968 rem 2

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