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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 153 · 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. 1.65973 ÷ 97 =
  2. 2.29352 ÷ 98 =
  3. 3.56471 ÷ 998 =
  4. 4.531194 ÷ 998 =
  5. 5.73095 ÷ 997 =
  6. 6.665410 ÷ 997 =
  7. 7.94152 ÷ 88 =
  8. 8.37839 ÷ 89 =
  9. 9.571082 ÷ 997 =
  10. 10.39881 ÷ 96 =
  11. 11.570119 ÷ 988 =
  12. 12.569342 ÷ 897 =
  13. 13.18118 ÷ 97 =
  14. 14.733276 ÷ 989 =
  15. 15.22861 ÷ 997 =
  16. 16.61311 ÷ 89 =
  17. 17.93798 ÷ 96 =
  18. 18.839733 ÷ 997 =
  19. 19.24461 ÷ 96 =
  20. 20.74127 ÷ 98 =
  21. 21.40406 ÷ 96 =
  22. 22.479959 ÷ 998 =
  23. 23.539417 ÷ 997 =
  24. 24.722902 ÷ 897 =
  25. 25.15816 ÷ 98 =
  26. 26.462189 ÷ 897 =
  27. 27.63437 ÷ 97 =
  28. 28.27075 ÷ 89 =
  29. 29.593907 ÷ 989 =
  30. 30.92638 ÷ 897 =
  31. 31.3354 ÷ 8 =
  32. 32.67586 ÷ 98 =
  33. 33.58443 ÷ 88 =
  34. 34.76341 ÷ 989 =
  35. 35.63836 ÷ 97 =
  36. 36.980737 ÷ 997 =
  37. 37.66450 ÷ 89 =
  38. 38.191075 ÷ 998 =
  39. 39.786927 ÷ 897 =
  40. 40.24530 ÷ 96 =

Answer key

  1. 680 rem 13
  2. 299 rem 50
  3. 56 rem 583
  4. 532 rem 258
  5. 73 rem 314
  6. 667 rem 411
  7. 1069 rem 80
  8. 425 rem 14
  9. 572 rem 798
  10. 415 rem 41
  11. 577 rem 43
  12. 634 rem 644
  13. 186 rem 76
  14. 741 rem 427
  15. 22 rem 927
  16. 688 rem 79
  17. 977 rem 6
  18. 842 rem 259
  19. 254 rem 77
  20. 756 rem 39
  21. 420 rem 86
  22. 480 rem 919
  23. 541 rem 40
  24. 805 rem 817
  25. 161 rem 38
  26. 515 rem 234
  27. 653 rem 96
  28. 304 rem 19
  29. 600 rem 507
  30. 103 rem 247
  31. 419 rem 2
  32. 689 rem 64
  33. 664 rem 11
  34. 77 rem 188
  35. 658 rem 10
  36. 983 rem 686
  37. 746 rem 56
  38. 191 rem 457
  39. 877 rem 258
  40. 255 rem 50

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