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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 497 · 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. 1.57789 ÷ 97 =
  2. 2.582466 ÷ 998 =
  3. 3.321428 ÷ 897 =
  4. 4.288815 ÷ 998 =
  5. 5.54294 ÷ 998 =
  6. 6.6556 ÷ 88 =
  7. 7.95173 ÷ 97 =
  8. 8.66948 ÷ 89 =
  9. 9.94614 ÷ 96 =
  10. 10.6081 ÷ 89 =
  11. 11.1767 ÷ 8 =
  12. 12.8969 ÷ 88 =
  13. 13.656189 ÷ 989 =
  14. 14.964082 ÷ 988 =
  15. 15.58719 ÷ 96 =
  16. 16.70536 ÷ 998 =
  17. 17.29841 ÷ 897 =
  18. 18.96514 ÷ 89 =
  19. 19.52808 ÷ 88 =
  20. 20.99675 ÷ 97 =
  21. 21.27706 ÷ 89 =
  22. 22.22205 ÷ 89 =
  23. 23.610141 ÷ 998 =
  24. 24.156636 ÷ 989 =
  25. 25.47856 ÷ 89 =
  26. 26.46364 ÷ 998 =
  27. 27.58677 ÷ 88 =
  28. 28.745141 ÷ 988 =
  29. 29.606297 ÷ 988 =
  30. 30.66767 ÷ 88 =
  31. 31.2630 ÷ 8 =
  32. 32.240205 ÷ 988 =
  33. 33.1389 ÷ 96 =
  34. 34.50007 ÷ 897 =
  35. 35.1100 ÷ 88 =
  36. 36.298952 ÷ 897 =
  37. 37.81818 ÷ 97 =
  38. 38.25130 ÷ 897 =
  39. 39.981075 ÷ 989 =
  40. 40.66492 ÷ 97 =

Answer key

  1. 595 rem 74
  2. 583 rem 632
  3. 358 rem 302
  4. 289 rem 393
  5. 54 rem 402
  6. 74 rem 44
  7. 981 rem 16
  8. 752 rem 20
  9. 985 rem 54
  10. 68 rem 29
  11. 220 rem 7
  12. 101 rem 81
  13. 663 rem 482
  14. 975 rem 782
  15. 611 rem 63
  16. 70 rem 676
  17. 33 rem 240
  18. 1084 rem 38
  19. 600 rem 8
  20. 1027 rem 56
  21. 311 rem 27
  22. 249 rem 44
  23. 611 rem 363
  24. 158 rem 374
  25. 537 rem 63
  26. 46 rem 456
  27. 666 rem 69
  28. 754 rem 189
  29. 613 rem 653
  30. 758 rem 63
  31. 328 rem 6
  32. 243 rem 121
  33. 14 rem 45
  34. 55 rem 672
  35. 12 rem 44
  36. 333 rem 251
  37. 843 rem 47
  38. 28 rem 14
  39. 991 rem 976
  40. 685 rem 47

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