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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 437 · 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. 1.80064 ÷ 96 =
  2. 2.3981 ÷ 8 =
  3. 3.99967 ÷ 97 =
  4. 4.4048 ÷ 8 =
  5. 5.7819 ÷ 8 =
  6. 6.52307 ÷ 88 =
  7. 7.36625 ÷ 97 =
  8. 8.80078 ÷ 88 =
  9. 9.69233 ÷ 97 =
  10. 10.743018 ÷ 997 =
  11. 11.99534 ÷ 97 =
  12. 12.52357 ÷ 96 =
  13. 13.94613 ÷ 97 =
  14. 14.287675 ÷ 988 =
  15. 15.354135 ÷ 989 =
  16. 16.83676 ÷ 88 =
  17. 17.999392 ÷ 997 =
  18. 18.7169 ÷ 8 =
  19. 19.97871 ÷ 88 =
  20. 20.24921 ÷ 96 =
  21. 21.4112 ÷ 8 =
  22. 22.698533 ÷ 997 =
  23. 23.5852 ÷ 8 =
  24. 24.32547 ÷ 98 =
  25. 25.795295 ÷ 998 =
  26. 26.61569 ÷ 98 =
  27. 27.70003 ÷ 989 =
  28. 28.82033 ÷ 88 =
  29. 29.26798 ÷ 88 =
  30. 30.48034 ÷ 98 =
  31. 31.343162 ÷ 897 =
  32. 32.16252 ÷ 98 =
  33. 33.742099 ÷ 988 =
  34. 34.97898 ÷ 88 =
  35. 35.40518 ÷ 89 =
  36. 36.81893 ÷ 97 =
  37. 37.15588 ÷ 98 =
  38. 38.452281 ÷ 989 =
  39. 39.75867 ÷ 89 =
  40. 40.26771 ÷ 98 =

Answer key

  1. 834 rem 0
  2. 497 rem 5
  3. 1030 rem 57
  4. 506 rem 0
  5. 977 rem 3
  6. 594 rem 35
  7. 377 rem 56
  8. 909 rem 86
  9. 713 rem 72
  10. 745 rem 253
  11. 1026 rem 12
  12. 545 rem 37
  13. 975 rem 38
  14. 291 rem 167
  15. 358 rem 73
  16. 950 rem 76
  17. 1002 rem 398
  18. 896 rem 1
  19. 1112 rem 15
  20. 259 rem 57
  21. 514 rem 0
  22. 700 rem 633
  23. 731 rem 4
  24. 332 rem 11
  25. 796 rem 887
  26. 628 rem 25
  27. 70 rem 773
  28. 932 rem 17
  29. 304 rem 46
  30. 490 rem 14
  31. 382 rem 508
  32. 165 rem 82
  33. 751 rem 111
  34. 1112 rem 42
  35. 455 rem 23
  36. 844 rem 25
  37. 159 rem 6
  38. 457 rem 308
  39. 852 rem 39
  40. 273 rem 17

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