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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 103 · 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. 1.930504 ÷ 998 =
  2. 2.12400 ÷ 97 =
  3. 3.2796 ÷ 8 =
  4. 4.995022 ÷ 897 =
  5. 5.216295 ÷ 997 =
  6. 6.16123 ÷ 89 =
  7. 7.645351 ÷ 997 =
  8. 8.513321 ÷ 897 =
  9. 9.922984 ÷ 988 =
  10. 10.12797 ÷ 88 =
  11. 11.32456 ÷ 96 =
  12. 12.59453 ÷ 98 =
  13. 13.6462 ÷ 8 =
  14. 14.96022 ÷ 88 =
  15. 15.98405 ÷ 97 =
  16. 16.1188 ÷ 8 =
  17. 17.56356 ÷ 96 =
  18. 18.28385 ÷ 88 =
  19. 19.34936 ÷ 998 =
  20. 20.7446 ÷ 8 =
  21. 21.56202 ÷ 88 =
  22. 22.22199 ÷ 88 =
  23. 23.75866 ÷ 98 =
  24. 24.54705 ÷ 98 =
  25. 25.21724 ÷ 897 =
  26. 26.39736 ÷ 89 =
  27. 27.478009 ÷ 998 =
  28. 28.699874 ÷ 989 =
  29. 29.264197 ÷ 997 =
  30. 30.92713 ÷ 96 =
  31. 31.56556 ÷ 897 =
  32. 32.270689 ÷ 998 =
  33. 33.283012 ÷ 897 =
  34. 34.94488 ÷ 96 =
  35. 35.30615 ÷ 897 =
  36. 36.715353 ÷ 997 =
  37. 37.401887 ÷ 998 =
  38. 38.673432 ÷ 989 =
  39. 39.15019 ÷ 98 =
  40. 40.694792 ÷ 998 =

Answer key

  1. 932 rem 368
  2. 127 rem 81
  3. 349 rem 4
  4. 1109 rem 249
  5. 216 rem 943
  6. 181 rem 14
  7. 647 rem 292
  8. 572 rem 237
  9. 934 rem 192
  10. 145 rem 37
  11. 338 rem 8
  12. 606 rem 65
  13. 807 rem 6
  14. 1091 rem 14
  15. 1014 rem 47
  16. 148 rem 4
  17. 587 rem 4
  18. 322 rem 49
  19. 35 rem 6
  20. 930 rem 6
  21. 638 rem 58
  22. 252 rem 23
  23. 774 rem 14
  24. 558 rem 21
  25. 24 rem 196
  26. 446 rem 42
  27. 478 rem 965
  28. 707 rem 651
  29. 264 rem 989
  30. 965 rem 73
  31. 63 rem 45
  32. 271 rem 231
  33. 315 rem 457
  34. 984 rem 24
  35. 34 rem 117
  36. 717 rem 504
  37. 402 rem 691
  38. 680 rem 912
  39. 153 rem 25
  40. 696 rem 184

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