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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 44 · 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. 1.56158 ÷ 89 =
  2. 2.972867 ÷ 989 =
  3. 3.20572 ÷ 88 =
  4. 4.41481 ÷ 98 =
  5. 5.796531 ÷ 988 =
  6. 6.907693 ÷ 988 =
  7. 7.91549 ÷ 98 =
  8. 8.2179 ÷ 97 =
  9. 9.23198 ÷ 89 =
  10. 10.50661 ÷ 88 =
  11. 11.12504 ÷ 98 =
  12. 12.542349 ÷ 988 =
  13. 13.99355 ÷ 98 =
  14. 14.3365 ÷ 8 =
  15. 15.39459 ÷ 88 =
  16. 16.81926 ÷ 89 =
  17. 17.3027 ÷ 8 =
  18. 18.380947 ÷ 989 =
  19. 19.2269 ÷ 98 =
  20. 20.5607 ÷ 8 =
  21. 21.841409 ÷ 998 =
  22. 22.7759 ÷ 97 =
  23. 23.1528 ÷ 8 =
  24. 24.67753 ÷ 897 =
  25. 25.860115 ÷ 997 =
  26. 26.6485 ÷ 8 =
  27. 27.86635 ÷ 96 =
  28. 28.568769 ÷ 998 =
  29. 29.880151 ÷ 988 =
  30. 30.66704 ÷ 997 =
  31. 31.577025 ÷ 989 =
  32. 32.37412 ÷ 98 =
  33. 33.973667 ÷ 989 =
  34. 34.32741 ÷ 96 =
  35. 35.89767 ÷ 89 =
  36. 36.457998 ÷ 897 =
  37. 37.91131 ÷ 98 =
  38. 38.721037 ÷ 997 =
  39. 39.957345 ÷ 988 =
  40. 40.51119 ÷ 88 =

Answer key

  1. 630 rem 88
  2. 983 rem 680
  3. 233 rem 68
  4. 423 rem 27
  5. 806 rem 203
  6. 918 rem 709
  7. 934 rem 17
  8. 22 rem 45
  9. 260 rem 58
  10. 575 rem 61
  11. 127 rem 58
  12. 548 rem 925
  13. 1013 rem 81
  14. 420 rem 5
  15. 448 rem 35
  16. 920 rem 46
  17. 378 rem 3
  18. 385 rem 182
  19. 23 rem 15
  20. 700 rem 7
  21. 843 rem 95
  22. 79 rem 96
  23. 191 rem 0
  24. 75 rem 478
  25. 862 rem 701
  26. 810 rem 5
  27. 902 rem 43
  28. 569 rem 907
  29. 890 rem 831
  30. 66 rem 902
  31. 583 rem 438
  32. 381 rem 74
  33. 984 rem 491
  34. 341 rem 5
  35. 1008 rem 55
  36. 510 rem 528
  37. 929 rem 89
  38. 723 rem 206
  39. 968 rem 961
  40. 580 rem 79

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