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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 628 · 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. 1.9639 ÷ 8 =
  2. 2.67677 ÷ 98 =
  3. 3.315912 ÷ 998 =
  4. 4.57650 ÷ 988 =
  5. 5.7595 ÷ 8 =
  6. 6.60391 ÷ 96 =
  7. 7.655076 ÷ 998 =
  8. 8.876436 ÷ 998 =
  9. 9.1519 ÷ 8 =
  10. 10.9918 ÷ 8 =
  11. 11.730001 ÷ 989 =
  12. 12.1017 ÷ 8 =
  13. 13.347596 ÷ 998 =
  14. 14.48289 ÷ 89 =
  15. 15.47904 ÷ 98 =
  16. 16.421142 ÷ 897 =
  17. 17.50242 ÷ 96 =
  18. 18.8348 ÷ 8 =
  19. 19.332414 ÷ 988 =
  20. 20.352751 ÷ 997 =
  21. 21.915499 ÷ 989 =
  22. 22.1400 ÷ 88 =
  23. 23.222991 ÷ 897 =
  24. 24.702988 ÷ 998 =
  25. 25.406071 ÷ 897 =
  26. 26.7347 ÷ 97 =
  27. 27.98027 ÷ 897 =
  28. 28.958 ÷ 8 =
  29. 29.98409 ÷ 98 =
  30. 30.130710 ÷ 997 =
  31. 31.256819 ÷ 997 =
  32. 32.597865 ÷ 989 =
  33. 33.350964 ÷ 997 =
  34. 34.69433 ÷ 88 =
  35. 35.65115 ÷ 96 =
  36. 36.879386 ÷ 988 =
  37. 37.592691 ÷ 997 =
  38. 38.49757 ÷ 97 =
  39. 39.51156 ÷ 88 =
  40. 40.50432 ÷ 97 =

Answer key

  1. 1204 rem 7
  2. 690 rem 57
  3. 316 rem 544
  4. 58 rem 346
  5. 949 rem 3
  6. 629 rem 7
  7. 656 rem 388
  8. 878 rem 192
  9. 189 rem 7
  10. 1239 rem 6
  11. 738 rem 119
  12. 127 rem 1
  13. 348 rem 292
  14. 542 rem 51
  15. 488 rem 80
  16. 469 rem 449
  17. 523 rem 34
  18. 1043 rem 4
  19. 336 rem 446
  20. 353 rem 810
  21. 925 rem 674
  22. 15 rem 80
  23. 248 rem 535
  24. 704 rem 396
  25. 452 rem 627
  26. 75 rem 72
  27. 109 rem 254
  28. 119 rem 6
  29. 1004 rem 17
  30. 131 rem 103
  31. 257 rem 590
  32. 604 rem 509
  33. 352 rem 20
  34. 789 rem 1
  35. 678 rem 27
  36. 890 rem 66
  37. 594 rem 473
  38. 512 rem 93
  39. 581 rem 28
  40. 519 rem 89

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