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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 907 · 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. 1.304298 ÷ 997 =
  2. 2.515749 ÷ 998 =
  3. 3.16111 ÷ 97 =
  4. 4.55000 ÷ 96 =
  5. 5.6392 ÷ 8 =
  6. 6.12204 ÷ 89 =
  7. 7.3093 ÷ 96 =
  8. 8.97678 ÷ 88 =
  9. 9.903594 ÷ 997 =
  10. 10.44041 ÷ 96 =
  11. 11.5238 ÷ 97 =
  12. 12.3790 ÷ 8 =
  13. 13.36250 ÷ 96 =
  14. 14.95805 ÷ 98 =
  15. 15.1373 ÷ 8 =
  16. 16.10275 ÷ 89 =
  17. 17.600256 ÷ 998 =
  18. 18.599520 ÷ 989 =
  19. 19.37745 ÷ 89 =
  20. 20.94831 ÷ 89 =
  21. 21.24444 ÷ 88 =
  22. 22.651664 ÷ 997 =
  23. 23.585893 ÷ 988 =
  24. 24.9540 ÷ 98 =
  25. 25.233627 ÷ 988 =
  26. 26.888496 ÷ 997 =
  27. 27.82247 ÷ 97 =
  28. 28.337372 ÷ 998 =
  29. 29.47668 ÷ 97 =
  30. 30.828105 ÷ 998 =
  31. 31.957332 ÷ 989 =
  32. 32.86579 ÷ 89 =
  33. 33.64888 ÷ 88 =
  34. 34.42448 ÷ 96 =
  35. 35.28866 ÷ 997 =
  36. 36.839894 ÷ 988 =
  37. 37.749228 ÷ 897 =
  38. 38.87752 ÷ 88 =
  39. 39.368478 ÷ 989 =
  40. 40.560192 ÷ 998 =

Answer key

  1. 305 rem 213
  2. 516 rem 781
  3. 166 rem 9
  4. 572 rem 88
  5. 799 rem 0
  6. 137 rem 11
  7. 32 rem 21
  8. 1109 rem 86
  9. 906 rem 312
  10. 458 rem 73
  11. 54 rem 0
  12. 473 rem 6
  13. 377 rem 58
  14. 977 rem 59
  15. 171 rem 5
  16. 115 rem 40
  17. 601 rem 458
  18. 606 rem 186
  19. 424 rem 9
  20. 1065 rem 46
  21. 277 rem 68
  22. 653 rem 623
  23. 593 rem 9
  24. 97 rem 34
  25. 236 rem 459
  26. 891 rem 169
  27. 847 rem 88
  28. 338 rem 48
  29. 491 rem 41
  30. 829 rem 763
  31. 967 rem 969
  32. 972 rem 71
  33. 737 rem 32
  34. 442 rem 16
  35. 28 rem 950
  36. 850 rem 94
  37. 835 rem 233
  38. 997 rem 16
  39. 372 rem 570
  40. 561 rem 314

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