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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 670 · 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. 1.365399 ÷ 988 =
  2. 2.488429 ÷ 897 =
  3. 3.46415 ÷ 89 =
  4. 4.79571 ÷ 98 =
  5. 5.38338 ÷ 98 =
  6. 6.24788 ÷ 98 =
  7. 7.779843 ÷ 897 =
  8. 8.487783 ÷ 997 =
  9. 9.68902 ÷ 989 =
  10. 10.2741 ÷ 8 =
  11. 11.26152 ÷ 96 =
  12. 12.976566 ÷ 897 =
  13. 13.3028 ÷ 88 =
  14. 14.40311 ÷ 89 =
  15. 15.83272 ÷ 89 =
  16. 16.282992 ÷ 988 =
  17. 17.553721 ÷ 988 =
  18. 18.5227 ÷ 8 =
  19. 19.1325 ÷ 97 =
  20. 20.11261 ÷ 89 =
  21. 21.322004 ÷ 897 =
  22. 22.42090 ÷ 97 =
  23. 23.112768 ÷ 988 =
  24. 24.944685 ÷ 998 =
  25. 25.213322 ÷ 989 =
  26. 26.2633 ÷ 8 =
  27. 27.487299 ÷ 988 =
  28. 28.459915 ÷ 988 =
  29. 29.48755 ÷ 97 =
  30. 30.50022 ÷ 897 =
  31. 31.50932 ÷ 88 =
  32. 32.840231 ÷ 897 =
  33. 33.449630 ÷ 988 =
  34. 34.722616 ÷ 997 =
  35. 35.45598 ÷ 98 =
  36. 36.355722 ÷ 988 =
  37. 37.7596 ÷ 8 =
  38. 38.30746 ÷ 96 =
  39. 39.421889 ÷ 988 =
  40. 40.72271 ÷ 98 =

Answer key

  1. 369 rem 827
  2. 544 rem 461
  3. 521 rem 46
  4. 811 rem 93
  5. 391 rem 20
  6. 252 rem 92
  7. 869 rem 350
  8. 489 rem 250
  9. 69 rem 661
  10. 342 rem 5
  11. 272 rem 40
  12. 1088 rem 630
  13. 34 rem 36
  14. 452 rem 83
  15. 935 rem 57
  16. 286 rem 424
  17. 560 rem 441
  18. 653 rem 3
  19. 13 rem 64
  20. 126 rem 47
  21. 358 rem 878
  22. 433 rem 89
  23. 114 rem 136
  24. 946 rem 577
  25. 215 rem 687
  26. 329 rem 1
  27. 493 rem 215
  28. 465 rem 495
  29. 502 rem 61
  30. 55 rem 687
  31. 578 rem 68
  32. 936 rem 639
  33. 455 rem 90
  34. 724 rem 788
  35. 465 rem 28
  36. 360 rem 42
  37. 949 rem 4
  38. 320 rem 26
  39. 427 rem 13
  40. 737 rem 45

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