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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 742 · 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. 1.102577 ÷ 997 =
  2. 2.363137 ÷ 997 =
  3. 3.949830 ÷ 998 =
  4. 4.66574 ÷ 88 =
  5. 5.24309 ÷ 97 =
  6. 6.272904 ÷ 998 =
  7. 7.38877 ÷ 89 =
  8. 8.544026 ÷ 988 =
  9. 9.485223 ÷ 897 =
  10. 10.98977 ÷ 97 =
  11. 11.445573 ÷ 988 =
  12. 12.4165 ÷ 8 =
  13. 13.276141 ÷ 989 =
  14. 14.181699 ÷ 998 =
  15. 15.89695 ÷ 89 =
  16. 16.1201 ÷ 8 =
  17. 17.40174 ÷ 988 =
  18. 18.150665 ÷ 997 =
  19. 19.233783 ÷ 897 =
  20. 20.211516 ÷ 988 =
  21. 21.344924 ÷ 998 =
  22. 22.597018 ÷ 989 =
  23. 23.33163 ÷ 88 =
  24. 24.66724 ÷ 97 =
  25. 25.563412 ÷ 988 =
  26. 26.82262 ÷ 88 =
  27. 27.51301 ÷ 89 =
  28. 28.649794 ÷ 997 =
  29. 29.1012 ÷ 8 =
  30. 30.621257 ÷ 997 =
  31. 31.99683 ÷ 88 =
  32. 32.27837 ÷ 88 =
  33. 33.510551 ÷ 897 =
  34. 34.19061 ÷ 89 =
  35. 35.68280 ÷ 88 =
  36. 36.448094 ÷ 997 =
  37. 37.451579 ÷ 998 =
  38. 38.94192 ÷ 897 =
  39. 39.61676 ÷ 98 =
  40. 40.749788 ÷ 988 =

Answer key

  1. 102 rem 883
  2. 364 rem 229
  3. 951 rem 732
  4. 756 rem 46
  5. 250 rem 59
  6. 273 rem 450
  7. 436 rem 73
  8. 550 rem 626
  9. 540 rem 843
  10. 1020 rem 37
  11. 450 rem 973
  12. 520 rem 5
  13. 279 rem 210
  14. 182 rem 63
  15. 1007 rem 72
  16. 150 rem 1
  17. 40 rem 654
  18. 151 rem 118
  19. 260 rem 563
  20. 214 rem 84
  21. 345 rem 614
  22. 603 rem 651
  23. 376 rem 75
  24. 687 rem 85
  25. 570 rem 252
  26. 934 rem 70
  27. 576 rem 37
  28. 651 rem 747
  29. 126 rem 4
  30. 623 rem 126
  31. 1132 rem 67
  32. 316 rem 29
  33. 569 rem 158
  34. 214 rem 15
  35. 775 rem 80
  36. 449 rem 441
  37. 452 rem 483
  38. 105 rem 7
  39. 629 rem 34
  40. 758 rem 884

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