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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 293 · 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. 1.378747 ÷ 988 =
  2. 2.255793 ÷ 897 =
  3. 3.36172 ÷ 89 =
  4. 4.98095 ÷ 989 =
  5. 5.67058 ÷ 98 =
  6. 6.32969 ÷ 89 =
  7. 7.31628 ÷ 89 =
  8. 8.4230 ÷ 8 =
  9. 9.234666 ÷ 998 =
  10. 10.468148 ÷ 989 =
  11. 11.57273 ÷ 998 =
  12. 12.29650 ÷ 897 =
  13. 13.460117 ÷ 988 =
  14. 14.7442 ÷ 8 =
  15. 15.803338 ÷ 998 =
  16. 16.775469 ÷ 998 =
  17. 17.57270 ÷ 97 =
  18. 18.13252 ÷ 96 =
  19. 19.6400 ÷ 8 =
  20. 20.646896 ÷ 989 =
  21. 21.673934 ÷ 998 =
  22. 22.730615 ÷ 998 =
  23. 23.902874 ÷ 988 =
  24. 24.2563 ÷ 88 =
  25. 25.865644 ÷ 989 =
  26. 26.6078 ÷ 98 =
  27. 27.686973 ÷ 998 =
  28. 28.1972 ÷ 8 =
  29. 29.204897 ÷ 897 =
  30. 30.20460 ÷ 98 =
  31. 31.62277 ÷ 89 =
  32. 32.94446 ÷ 988 =
  33. 33.2165 ÷ 98 =
  34. 34.192459 ÷ 988 =
  35. 35.343970 ÷ 897 =
  36. 36.431350 ÷ 997 =
  37. 37.51285 ÷ 96 =
  38. 38.818793 ÷ 897 =
  39. 39.462111 ÷ 998 =
  40. 40.374602 ÷ 989 =

Answer key

  1. 383 rem 343
  2. 285 rem 148
  3. 406 rem 38
  4. 99 rem 184
  5. 684 rem 26
  6. 370 rem 39
  7. 355 rem 33
  8. 528 rem 6
  9. 235 rem 136
  10. 473 rem 351
  11. 57 rem 387
  12. 33 rem 49
  13. 465 rem 697
  14. 930 rem 2
  15. 804 rem 946
  16. 777 rem 23
  17. 590 rem 40
  18. 138 rem 4
  19. 800 rem 0
  20. 654 rem 90
  21. 675 rem 284
  22. 732 rem 79
  23. 913 rem 830
  24. 29 rem 11
  25. 875 rem 269
  26. 62 rem 2
  27. 688 rem 349
  28. 246 rem 4
  29. 228 rem 381
  30. 208 rem 76
  31. 699 rem 66
  32. 95 rem 586
  33. 22 rem 9
  34. 194 rem 787
  35. 383 rem 419
  36. 432 rem 646
  37. 534 rem 21
  38. 912 rem 729
  39. 463 rem 37
  40. 378 rem 760

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