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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 420 · 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. 1.386818 ÷ 997 =
  2. 2.224273 ÷ 897 =
  3. 3.220089 ÷ 997 =
  4. 4.8379 ÷ 8 =
  5. 5.779228 ÷ 989 =
  6. 6.61792 ÷ 998 =
  7. 7.70235 ÷ 98 =
  8. 8.66350 ÷ 97 =
  9. 9.6663 ÷ 96 =
  10. 10.897230 ÷ 997 =
  11. 11.77041 ÷ 97 =
  12. 12.234381 ÷ 997 =
  13. 13.971015 ÷ 998 =
  14. 14.61757 ÷ 98 =
  15. 15.97898 ÷ 89 =
  16. 16.94098 ÷ 96 =
  17. 17.699040 ÷ 897 =
  18. 18.77644 ÷ 96 =
  19. 19.308236 ÷ 998 =
  20. 20.5699 ÷ 96 =
  21. 21.171936 ÷ 988 =
  22. 22.733690 ÷ 989 =
  23. 23.803401 ÷ 989 =
  24. 24.3517 ÷ 98 =
  25. 25.22188 ÷ 98 =
  26. 26.464989 ÷ 997 =
  27. 27.491442 ÷ 897 =
  28. 28.6107 ÷ 8 =
  29. 29.257389 ÷ 997 =
  30. 30.20356 ÷ 98 =
  31. 31.294014 ÷ 997 =
  32. 32.749076 ÷ 897 =
  33. 33.6358 ÷ 8 =
  34. 34.338404 ÷ 989 =
  35. 35.12881 ÷ 98 =
  36. 36.119143 ÷ 988 =
  37. 37.410199 ÷ 998 =
  38. 38.56704 ÷ 89 =
  39. 39.209446 ÷ 997 =
  40. 40.2390 ÷ 88 =

Answer key

  1. 387 rem 979
  2. 250 rem 23
  3. 220 rem 749
  4. 1047 rem 3
  5. 787 rem 885
  6. 61 rem 914
  7. 716 rem 67
  8. 684 rem 2
  9. 69 rem 39
  10. 899 rem 927
  11. 794 rem 23
  12. 235 rem 86
  13. 972 rem 959
  14. 630 rem 17
  15. 1099 rem 87
  16. 980 rem 18
  17. 779 rem 277
  18. 808 rem 76
  19. 308 rem 852
  20. 59 rem 35
  21. 174 rem 24
  22. 741 rem 841
  23. 812 rem 333
  24. 35 rem 87
  25. 226 rem 40
  26. 466 rem 387
  27. 547 rem 783
  28. 763 rem 3
  29. 258 rem 163
  30. 207 rem 70
  31. 294 rem 896
  32. 835 rem 81
  33. 794 rem 6
  34. 342 rem 166
  35. 131 rem 43
  36. 120 rem 583
  37. 411 rem 21
  38. 637 rem 11
  39. 210 rem 76
  40. 27 rem 14

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