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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 14 · 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. 1.691306 ÷ 897 =
  2. 2.7293 ÷ 8 =
  3. 3.3565 ÷ 8 =
  4. 4.39280 ÷ 98 =
  5. 5.600712 ÷ 998 =
  6. 6.49818 ÷ 98 =
  7. 7.11545 ÷ 89 =
  8. 8.4368 ÷ 8 =
  9. 9.44374 ÷ 88 =
  10. 10.998818 ÷ 988 =
  11. 11.16993 ÷ 98 =
  12. 12.806870 ÷ 998 =
  13. 13.9131 ÷ 8 =
  14. 14.35004 ÷ 98 =
  15. 15.49320 ÷ 97 =
  16. 16.87763 ÷ 897 =
  17. 17.2191 ÷ 8 =
  18. 18.4100 ÷ 8 =
  19. 19.30429 ÷ 98 =
  20. 20.26379 ÷ 98 =
  21. 21.941167 ÷ 988 =
  22. 22.778771 ÷ 897 =
  23. 23.48519 ÷ 98 =
  24. 24.42459 ÷ 88 =
  25. 25.502421 ÷ 897 =
  26. 26.27908 ÷ 97 =
  27. 27.4534 ÷ 96 =
  28. 28.73698 ÷ 88 =
  29. 29.1088 ÷ 8 =
  30. 30.39341 ÷ 97 =
  31. 31.91324 ÷ 96 =
  32. 32.8280 ÷ 8 =
  33. 33.32417 ÷ 89 =
  34. 34.2062 ÷ 88 =
  35. 35.940713 ÷ 998 =
  36. 36.11496 ÷ 97 =
  37. 37.10028 ÷ 998 =
  38. 38.48703 ÷ 89 =
  39. 39.25474 ÷ 96 =
  40. 40.291028 ÷ 998 =

Answer key

  1. 770 rem 616
  2. 911 rem 5
  3. 445 rem 5
  4. 400 rem 80
  5. 601 rem 914
  6. 508 rem 34
  7. 129 rem 64
  8. 546 rem 0
  9. 504 rem 22
  10. 1010 rem 938
  11. 173 rem 39
  12. 808 rem 486
  13. 1141 rem 3
  14. 357 rem 18
  15. 508 rem 44
  16. 97 rem 754
  17. 273 rem 7
  18. 512 rem 4
  19. 310 rem 49
  20. 269 rem 17
  21. 952 rem 591
  22. 868 rem 175
  23. 495 rem 9
  24. 482 rem 43
  25. 560 rem 101
  26. 287 rem 69
  27. 47 rem 22
  28. 837 rem 42
  29. 136 rem 0
  30. 405 rem 56
  31. 951 rem 28
  32. 1035 rem 0
  33. 364 rem 21
  34. 23 rem 38
  35. 942 rem 597
  36. 118 rem 50
  37. 10 rem 48
  38. 547 rem 20
  39. 265 rem 34
  40. 291 rem 610

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