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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 98 · 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. 1.67751 ÷ 88 =
  2. 2.702389 ÷ 998 =
  3. 3.158201 ÷ 897 =
  4. 4.9058 ÷ 8 =
  5. 5.397565 ÷ 988 =
  6. 6.31649 ÷ 98 =
  7. 7.601535 ÷ 997 =
  8. 8.533099 ÷ 897 =
  9. 9.1414 ÷ 96 =
  10. 10.1989 ÷ 8 =
  11. 11.24418 ÷ 998 =
  12. 12.32203 ÷ 97 =
  13. 13.70878 ÷ 88 =
  14. 14.517613 ÷ 989 =
  15. 15.876382 ÷ 989 =
  16. 16.46239 ÷ 97 =
  17. 17.453414 ÷ 998 =
  18. 18.640030 ÷ 998 =
  19. 19.79301 ÷ 98 =
  20. 20.938944 ÷ 997 =
  21. 21.331828 ÷ 989 =
  22. 22.133254 ÷ 997 =
  23. 23.9998 ÷ 8 =
  24. 24.875333 ÷ 998 =
  25. 25.587905 ÷ 998 =
  26. 26.948513 ÷ 897 =
  27. 27.697166 ÷ 998 =
  28. 28.34920 ÷ 89 =
  29. 29.901000 ÷ 989 =
  30. 30.238089 ÷ 897 =
  31. 31.159524 ÷ 997 =
  32. 32.355658 ÷ 988 =
  33. 33.691762 ÷ 998 =
  34. 34.974049 ÷ 989 =
  35. 35.503304 ÷ 989 =
  36. 36.7531 ÷ 8 =
  37. 37.94401 ÷ 96 =
  38. 38.1202 ÷ 98 =
  39. 39.293602 ÷ 998 =
  40. 40.20601 ÷ 88 =

Answer key

  1. 769 rem 79
  2. 703 rem 795
  3. 176 rem 329
  4. 1132 rem 2
  5. 402 rem 389
  6. 322 rem 93
  7. 603 rem 344
  8. 594 rem 281
  9. 14 rem 70
  10. 248 rem 5
  11. 24 rem 466
  12. 331 rem 96
  13. 805 rem 38
  14. 523 rem 366
  15. 886 rem 128
  16. 476 rem 67
  17. 454 rem 322
  18. 641 rem 312
  19. 809 rem 19
  20. 941 rem 767
  21. 335 rem 513
  22. 133 rem 653
  23. 1249 rem 6
  24. 877 rem 87
  25. 589 rem 83
  26. 1057 rem 384
  27. 698 rem 562
  28. 392 rem 32
  29. 911 rem 21
  30. 265 rem 384
  31. 160 rem 4
  32. 359 rem 966
  33. 693 rem 148
  34. 984 rem 873
  35. 508 rem 892
  36. 941 rem 3
  37. 983 rem 33
  38. 12 rem 26
  39. 294 rem 190
  40. 234 rem 9

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