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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 187 · 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. 1.870780 ÷ 897 =
  2. 2.85480 ÷ 98 =
  3. 3.891229 ÷ 897 =
  4. 4.98443 ÷ 89 =
  5. 5.272800 ÷ 998 =
  6. 6.5882 ÷ 8 =
  7. 7.8953 ÷ 8 =
  8. 8.46647 ÷ 96 =
  9. 9.675057 ÷ 989 =
  10. 10.56403 ÷ 97 =
  11. 11.340352 ÷ 897 =
  12. 12.79199 ÷ 97 =
  13. 13.56138 ÷ 96 =
  14. 14.29979 ÷ 89 =
  15. 15.97134 ÷ 96 =
  16. 16.159535 ÷ 989 =
  17. 17.791032 ÷ 989 =
  18. 18.1751 ÷ 8 =
  19. 19.12523 ÷ 97 =
  20. 20.9771 ÷ 8 =
  21. 21.57753 ÷ 89 =
  22. 22.11723 ÷ 89 =
  23. 23.885186 ÷ 989 =
  24. 24.478349 ÷ 897 =
  25. 25.60095 ÷ 98 =
  26. 26.72578 ÷ 88 =
  27. 27.53095 ÷ 97 =
  28. 28.64037 ÷ 88 =
  29. 29.91800 ÷ 89 =
  30. 30.176509 ÷ 988 =
  31. 31.6545 ÷ 88 =
  32. 32.18252 ÷ 97 =
  33. 33.275030 ÷ 988 =
  34. 34.21865 ÷ 97 =
  35. 35.176155 ÷ 998 =
  36. 36.28347 ÷ 998 =
  37. 37.772591 ÷ 997 =
  38. 38.72687 ÷ 96 =
  39. 39.23707 ÷ 88 =
  40. 40.584410 ÷ 998 =

Answer key

  1. 970 rem 690
  2. 872 rem 24
  3. 993 rem 508
  4. 1106 rem 9
  5. 273 rem 346
  6. 735 rem 2
  7. 1119 rem 1
  8. 485 rem 87
  9. 682 rem 559
  10. 581 rem 46
  11. 379 rem 389
  12. 816 rem 47
  13. 584 rem 74
  14. 336 rem 75
  15. 1011 rem 78
  16. 161 rem 306
  17. 799 rem 821
  18. 218 rem 7
  19. 129 rem 10
  20. 1221 rem 3
  21. 648 rem 81
  22. 131 rem 64
  23. 895 rem 31
  24. 533 rem 248
  25. 613 rem 21
  26. 824 rem 66
  27. 547 rem 36
  28. 727 rem 61
  29. 1031 rem 41
  30. 178 rem 645
  31. 74 rem 33
  32. 188 rem 16
  33. 278 rem 366
  34. 225 rem 40
  35. 176 rem 507
  36. 28 rem 403
  37. 774 rem 913
  38. 757 rem 15
  39. 269 rem 35
  40. 585 rem 580

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