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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 152 · 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. 1.5600 ÷ 98 =
  2. 2.864682 ÷ 897 =
  3. 3.17411 ÷ 88 =
  4. 4.95859 ÷ 88 =
  5. 5.55573 ÷ 97 =
  6. 6.660877 ÷ 897 =
  7. 7.67656 ÷ 98 =
  8. 8.873918 ÷ 997 =
  9. 9.62345 ÷ 98 =
  10. 10.546268 ÷ 988 =
  11. 11.386380 ÷ 897 =
  12. 12.106491 ÷ 989 =
  13. 13.8351 ÷ 8 =
  14. 14.728387 ÷ 997 =
  15. 15.20357 ÷ 96 =
  16. 16.9655 ÷ 8 =
  17. 17.36611 ÷ 96 =
  18. 18.87205 ÷ 97 =
  19. 19.5628 ÷ 88 =
  20. 20.61812 ÷ 88 =
  21. 21.26603 ÷ 97 =
  22. 22.3395 ÷ 88 =
  23. 23.45479 ÷ 88 =
  24. 24.179369 ÷ 998 =
  25. 25.511742 ÷ 988 =
  26. 26.13842 ÷ 98 =
  27. 27.312545 ÷ 897 =
  28. 28.9186 ÷ 8 =
  29. 29.383676 ÷ 897 =
  30. 30.3042 ÷ 88 =
  31. 31.129444 ÷ 997 =
  32. 32.1146 ÷ 8 =
  33. 33.34731 ÷ 88 =
  34. 34.43888 ÷ 88 =
  35. 35.77340 ÷ 97 =
  36. 36.44160 ÷ 97 =
  37. 37.796739 ÷ 988 =
  38. 38.190766 ÷ 998 =
  39. 39.21337 ÷ 88 =
  40. 40.422257 ÷ 897 =

Answer key

  1. 57 rem 14
  2. 963 rem 871
  3. 197 rem 75
  4. 1089 rem 27
  5. 572 rem 89
  6. 736 rem 685
  7. 690 rem 36
  8. 876 rem 546
  9. 636 rem 17
  10. 552 rem 892
  11. 430 rem 670
  12. 107 rem 668
  13. 1043 rem 7
  14. 730 rem 577
  15. 212 rem 5
  16. 1206 rem 7
  17. 381 rem 35
  18. 899 rem 2
  19. 63 rem 84
  20. 702 rem 36
  21. 274 rem 25
  22. 38 rem 51
  23. 516 rem 71
  24. 179 rem 727
  25. 517 rem 946
  26. 141 rem 24
  27. 348 rem 389
  28. 1148 rem 2
  29. 427 rem 657
  30. 34 rem 50
  31. 129 rem 831
  32. 143 rem 2
  33. 394 rem 59
  34. 498 rem 64
  35. 797 rem 31
  36. 455 rem 25
  37. 806 rem 411
  38. 191 rem 148
  39. 242 rem 41
  40. 470 rem 667

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