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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 561 · 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. 1.348292 ÷ 998 =
  2. 2.905285 ÷ 989 =
  3. 3.34467 ÷ 96 =
  4. 4.60984 ÷ 88 =
  5. 5.4292 ÷ 97 =
  6. 6.99090 ÷ 97 =
  7. 7.72097 ÷ 89 =
  8. 8.11477 ÷ 97 =
  9. 9.16718 ÷ 96 =
  10. 10.38354 ÷ 97 =
  11. 11.972639 ÷ 897 =
  12. 12.90406 ÷ 98 =
  13. 13.74382 ÷ 88 =
  14. 14.89278 ÷ 96 =
  15. 15.2458 ÷ 8 =
  16. 16.4261 ÷ 8 =
  17. 17.6049 ÷ 8 =
  18. 18.28930 ÷ 897 =
  19. 19.391150 ÷ 988 =
  20. 20.770154 ÷ 988 =
  21. 21.614970 ÷ 998 =
  22. 22.64322 ÷ 89 =
  23. 23.393446 ÷ 998 =
  24. 24.343111 ÷ 989 =
  25. 25.21712 ÷ 88 =
  26. 26.7006 ÷ 8 =
  27. 27.711846 ÷ 998 =
  28. 28.884937 ÷ 897 =
  29. 29.562998 ÷ 998 =
  30. 30.87056 ÷ 88 =
  31. 31.456394 ÷ 998 =
  32. 32.939477 ÷ 998 =
  33. 33.668647 ÷ 988 =
  34. 34.86374 ÷ 997 =
  35. 35.27771 ÷ 989 =
  36. 36.775383 ÷ 998 =
  37. 37.23260 ÷ 97 =
  38. 38.4323 ÷ 8 =
  39. 39.53468 ÷ 897 =
  40. 40.92664 ÷ 98 =

Answer key

  1. 348 rem 988
  2. 915 rem 350
  3. 359 rem 3
  4. 693 rem 0
  5. 44 rem 24
  6. 1021 rem 53
  7. 810 rem 7
  8. 118 rem 31
  9. 174 rem 14
  10. 395 rem 39
  11. 1084 rem 291
  12. 922 rem 50
  13. 845 rem 22
  14. 929 rem 94
  15. 307 rem 2
  16. 532 rem 5
  17. 756 rem 1
  18. 32 rem 226
  19. 395 rem 890
  20. 779 rem 502
  21. 616 rem 202
  22. 722 rem 64
  23. 394 rem 234
  24. 346 rem 917
  25. 246 rem 64
  26. 875 rem 6
  27. 713 rem 272
  28. 986 rem 495
  29. 564 rem 126
  30. 989 rem 24
  31. 457 rem 308
  32. 941 rem 359
  33. 676 rem 759
  34. 86 rem 632
  35. 28 rem 79
  36. 776 rem 935
  37. 239 rem 77
  38. 540 rem 3
  39. 59 rem 545
  40. 945 rem 54

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