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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 760 · 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. 1.72774 ÷ 97 =
  2. 2.568568 ÷ 988 =
  3. 3.38400 ÷ 88 =
  4. 4.63815 ÷ 96 =
  5. 5.774191 ÷ 998 =
  6. 6.809 ÷ 8 =
  7. 7.73618 ÷ 89 =
  8. 8.19248 ÷ 89 =
  9. 9.87964 ÷ 88 =
  10. 10.754512 ÷ 989 =
  11. 11.69341 ÷ 98 =
  12. 12.22156 ÷ 89 =
  13. 13.7142 ÷ 8 =
  14. 14.2817 ÷ 8 =
  15. 15.24672 ÷ 96 =
  16. 16.165015 ÷ 988 =
  17. 17.8334 ÷ 89 =
  18. 18.229373 ÷ 897 =
  19. 19.17291 ÷ 98 =
  20. 20.84092 ÷ 88 =
  21. 21.88427 ÷ 97 =
  22. 22.5265 ÷ 8 =
  23. 23.8918 ÷ 8 =
  24. 24.286233 ÷ 997 =
  25. 25.113758 ÷ 997 =
  26. 26.369123 ÷ 897 =
  27. 27.85715 ÷ 88 =
  28. 28.82106 ÷ 97 =
  29. 29.39453 ÷ 89 =
  30. 30.310485 ÷ 897 =
  31. 31.80485 ÷ 98 =
  32. 32.671914 ÷ 989 =
  33. 33.45323 ÷ 98 =
  34. 34.164811 ÷ 897 =
  35. 35.1555 ÷ 8 =
  36. 36.280099 ÷ 998 =
  37. 37.42704 ÷ 88 =
  38. 38.123829 ÷ 988 =
  39. 39.354908 ÷ 989 =
  40. 40.83559 ÷ 89 =

Answer key

  1. 750 rem 24
  2. 575 rem 468
  3. 436 rem 32
  4. 664 rem 71
  5. 775 rem 741
  6. 101 rem 1
  7. 827 rem 15
  8. 216 rem 24
  9. 999 rem 52
  10. 762 rem 894
  11. 707 rem 55
  12. 248 rem 84
  13. 892 rem 6
  14. 352 rem 1
  15. 257 rem 0
  16. 167 rem 19
  17. 93 rem 57
  18. 255 rem 638
  19. 176 rem 43
  20. 955 rem 52
  21. 911 rem 60
  22. 658 rem 1
  23. 1114 rem 6
  24. 287 rem 94
  25. 114 rem 100
  26. 411 rem 456
  27. 974 rem 3
  28. 846 rem 44
  29. 443 rem 26
  30. 346 rem 123
  31. 821 rem 27
  32. 679 rem 383
  33. 462 rem 47
  34. 183 rem 660
  35. 194 rem 3
  36. 280 rem 659
  37. 485 rem 24
  38. 125 rem 329
  39. 358 rem 846
  40. 938 rem 77

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